Prof. Dr. Enrique Zuazua
Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
FAU MoD Spokesperson / Steering Committee
Friedrich-Alexander-Universität Erlangen-Nürnberg
enrique.zuazua@fau.de
See my profile at FAU DCN-AvH
Partial Differential Equations, Numerical Analysis, Control, Machine Learning, Data Sciences
Latest news
Distinguished CMAI Colloquium: Control and Machine Learning, October 25, 2024
Lecture: Data Representation by Neural Networks: A control perspective, October 7-10, 2024
CIME Summer School. PDEs, Control and Deep Learning, July 2024
Trends in Mathematical Sciences 2024, June 2024
Publications
2025
Deep Neural Networks: Multi-Classification and Universal Approximation
(2025)
URL: https://arxiv.org/abs/2409.06555v1 , :
2024
Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis
(2024)
DOI: 10.48550/arXiv.2407.01602
URL: https://arxiv.org/abs/2407.01602 , , :
Interplay between depth and width for interpolation in neural ODEs
In: Neural Networks (2024)
ISSN: 0893-6080
DOI: 10.48550/arXiv.2401.09902 , , :
Optimized classification with neural ODEs via separability
(2024)
DOI: 10.48550/arXiv.2312.13807 , , :
Tracking controllability for the heat equation
(2024)
URL: http://arxiv.org/abs/2310.00314 , :
Gaussian Beam ansatz for finite difference wave equations
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/WaveAnsatz.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/WaveAnsatz.pdf , :
Multilevel selective harmonic modulation by duality
(2024)
DOI: 10.1016/j.ifacol.2022.08.081
URL: https://dcn.nat.fau.eu/wp-content/uploads/SHM_adjoint.pdf , :
Control of Hyperbolic and Parabolic Equations on Networks and Singular limits
URL: https://hal.science/hal-03233211 , , , , :
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2024)
ISSN: 0218-2025
DOI: 10.1142/S021820252450026X , , , , :
Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2024)
ISSN: 0218-2025
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/CocDNMadOrlZua-231029.pdf , , , , :
On the decay of one-dimensional locally and partially dissipated and hyperbolic systems
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/PartLocDissip-tCrinBarat-nDeNitti-eZuazua.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/PartLocDissip-tCrinBarat-nDeNitti-eZuazua.pdf , , :
Pointwise constraints for scalar conservation laws with positive wave velocity
(2024)
URL: http://cvgmt.sns.it/paper/6472/ , , :
Boundary sidewise observability of the wave equation
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua-29.10.2023.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua-29.10.2023.pdf , :
Finite Element Approximation of the Hardy Constant
In: Journal of Convex Analysis 31 (2024), p. 497-523
ISSN: 0944-6532 , , , , , :
Finite element approximation of the Hardy constant
(2024)
DOI: 10.48550/arXiv.2308.01580 , , , , , :
Large-time asymptotics in deep learning
(2024)
DOI: 10.48550/arXiv.2008.02491 , , , :
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation
(2024)
URL: https://arxiv.org/abs/2210.03798 , , :
Optimal Placement and Shape Design of Sensors via Geometric Criteria
2024 European Control Conference, ECC 2024 (Stockholm, SWE, June 25, 2024 - June 28, 2024)
In: 2024 European Control Conference, ECC 2024 2024
DOI: 10.23919/ECC64448.2024.10591236 , :
Turnpike in Control of PDEs, RESNETs and beyond
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf , :
Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf , :
Uniform Turnpike Property and Singular Limits
DOI: 10.1007/s10440-024-00640-7
URL: https://link.springer.com/article/10.1007/s10440-024-00640-7 , :
Eigenvalue bounds for the Gramian operator of the heat equation
In: Automatica 164 (2024), p. 111-653
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2024.111653
URL: https://dcn.nat.fau.eu/wp-content/uploads/2nd_version-gram-lyapunov-autom.pdf , :
Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements
In: Mathematical Methods in the Applied Sciences (2024), p. 1-32
ISSN: 0170-4214
DOI: 10.1002/mma.10251
URL: https://dcn.nat.fau.eu/wp-content/uploads/optimalCtrlApproach.pdf , , , :
Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications
(2024)
Open Access: https://arxiv.org/abs/2407.17092
URL: https://arxiv.org/abs/2407.17092 , , , :
Analysis and numerical solvability of backward-forward conservation laws
(2024)
DOI: 10.1137/22m1478720
URL: https://dcn.nat.fau.eu/wp-content/uploads/AnalysisNumSolvability_tLiardEZuazua.pdf , :
Constrained control of gene-flow models
(2024)
DOI: 10.4171/aihpc/52
URL: https://dcn.nat.fau.eu/wp-content/uploads/ControlHeterogeneousV5.pdf , , :
Control of neural transport for normalising flows
In: Journal De Mathematiques Pures Et Appliquees 181 (2024), p. 58-90
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2023.10.005 , :
Control of reaction-diffusion models in biology and social sciences
(2024)
DOI: 10.3934/mcrf.2022032
URL: https://dcn.nat.fau.eu/wp-content/uploads/NotesSichuan-DRuizBalet_EZuazua.pdf , :
Neural ODE Control for Classification, Approximation and Transport
(2024)
URL: https://dcn.nat.fau.eu/wp-content/uploads/NeuralODEControl-RuizBaletZuazua.pdf , :
Pattern control via diffusion interaction
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/RuizBalet_EZuazua_pattDiffCntrl.pdf , :
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning
(2024)
DOI: 10.48550/arXiv.2402.13989 , , :
Control of a Lotka-Volterra System with Weak Competition
(2024)
Open Access: https://arxiv.org/abs/2409.20279
URL: https://arxiv.org/abs/2409.20279 , :
Stability and Convergence of a Randomized Model Predictive Control Strategy
In: IEEE Transactions on Automatic Control (2024), p. 1-8
ISSN: 1558-2523
DOI: 10.1109/TAC.2024.3375253 , , :
Stability and Convergence of a Randomized Model Predictive Control Strategy
Open Access: https://arxiv.org/abs/2211.05463
URL: https://arxiv.org/abs/2211.05463 , , :
Local Stability and Convergence of Unconstrained Model Predictive Control
(2024)
Open Access: http://arxiv.org/abs/2206.01097
URL: http://arxiv.org/abs/2206.01097 , :
Observability for heat equations with time-dependent analytic memory
(2024) , , :
Reachable subspaces, control regions and heat equations with memory
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/reachableSubspaces-29jan2021-2101.10615.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/reachableSubspaces-29jan2021-2101.10615.pdf , , :
Approximate and Weighted Data Reconstruction Attack in Federated Learning
(2024)
URL: https://arxiv.org/abs/2308.06822 , , :
Tracking controllability for finite-dimensional linear systems
(2024)
Open Access: http://arxiv.org/abs/2407.18641 , :
Control and Machine Learning
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/EZuazua_COIA_ControlnML.pdf :
Exact Controllability and Stabilization of the Wave Equation
(2024)
URL: https://arxiv.org/abs/2402.17894 :
Fourier series and sidewise control of 1-d waves
2024
(Volume in honor of Yves Meyer, Documents Mathématiques of the French Mathematical Society (SMF), Vol. 22)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf
URL: https://arxiv.org/abs/2308.04906 (ed.):
Fourier series and sidewise profile control of 1-d waves
(2024)
Open Access: https://arxiv.org/abs/2308.04906 :
Fourier series and sidewise profile control of 1-d waves
(2024)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf :
Progress and future directions in machine learning through control theory
FGS 2024. French-German-Spanish Conference on Optimization (Gijon, Spain, June 18, 2024 - June 21, 2024)
In: Proceedings FGS 20204 2024
Open Access: https://digibuo.uniovi.es/dspace/handle/10651/74691 :
Interplay between depth and width for interpolation in neural ODEs
In: Neural Networks 180 (2024), Article No.: 106640
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2024.106640 , , :
2023
A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation
In: Inverse Problems (2023)
ISSN: 0266-5611
DOI: 10.48550/arXiv.2202.01589
URL: https://arxiv.org/abs/2202.01589 , , , :
Gaussian Beam Ansatz for Finite Difference Wave Equations
In: Foundations of Computational Mathematics (2023)
ISSN: 1615-3375
DOI: 10.1007/s10208-023-09632-9 , :
Multilevel control by duality
In: Systems & Control Letters 175 (2023), Article No.: 105502
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2023.105502
URL: https://arxiv.org/abs/2109.02346 , :
Long-time convergence of a nonlocal Burgers' equation towards the local N-wave
In: Nonlinearity (2023)
ISSN: 0951-7715
DOI: 10.1088/1361-6544/acf01d
URL: https://iopscience.iop.org/article/10.1088/1361-6544/acf01d , , , , :
On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov Methods
In: Vietnam Journal of Mathematics (2023)
ISSN: 0866-7179
DOI: 10.1007/s10013-022-00598-9 , :
Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws
In: Nonlinear Analysis: Hybrid Systems 227 (2023)
ISSN: 1751-570X
DOI: 10.1016/j.na.2022.113167
URL: https://dcn.nat.fau.eu/wp-content/uploads/reachableHamiltonJacobi-cEsteveY-eZuazua-2203.04731.pdf , :
Optimal design of sensors via geometric criteria
In: Journal of Geometric Analysis 33 (2023)
ISSN: 1050-6926
DOI: 10.1007/s12220-023-01301-1
URL: https://link.springer.com/article/10.1007/s12220-023-01301-1 , :
Greedy search of optimal approximate solutions
In: Pure and Applied Functional Analysis 8 (2023), p. 547-564
ISSN: 2189-3764
Open Access: http://yokohamapublishers.jp/online2/oppafa/vol8/p547.html
URL: https://dcn.nat.fau.eu/wp-content/uploads/greedy-solving-systems.pdf , :
ANALYSIS AND NUMERICAL SOLVABILITY OF BACKWARD-FORWARD CONSERVATION LAWS
In: SIAM Journal on Mathematical Analysis 55 (2023), p. 1949-1968
ISSN: 0036-1410
DOI: 10.1137/22M1478720 , :
Constrained control of gene-flow models
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 40 (2023), p. 717-766
ISSN: 0294-1449
DOI: 10.4171/AIHPC/52 , , :
Neural ODE Control for Classification, Approximation, and Transport
In: SIAM Review 65 (2023), p. 735-773
ISSN: 0036-1445
DOI: 10.1137/21M1411433 , :
A quantitative analysis of Koopman operator methods for system identification and predictions
In: Comptes Rendus Mecanique 351 (2023), p. 1-31
ISSN: 1631-0721
DOI: 10.5802/crmeca.138
URL: https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.138/ , :
2022
Control and Numerical approximation of Fractional Diffusion Equations
In: Handbook of Numerical Analysis (2022), Article No.: 1570-8659
ISSN: 1570-8659
DOI: 10.1016/bs.hna.2021.12.001
URL: https://dcn.nat.fau.eu/wp-content/uploads/BiccariWarmaZuazua_fractionalControl.pdf , , :
Multilevel Selective Harmonic Modulation by Duality
In: IFAC-PapersOnLine (2022), p. 56-61
ISSN: 1474-6670
DOI: 10.1016/j.ifacol.2022.08.081 , :
CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
2022 , , , , , , , :
Turnpike in Lipschitz-nonlinear optimal control
In: Nonlinearity 5 (2022), p. 1652-1701
ISSN: 0951-7715
DOI: 10.1088/1361-6544/ac4e61 , , , :
The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems
In: Mathematics of Control Signals and Systems (2022)
ISSN: 0932-4194
DOI: 10.1007/s00498-022-00325-2 , , , :
Differentiability with respect to the initial condition for Hamilton-Jacobi equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353 , :
Differentiability With Respect To The Initial Condition For Hamilton-jacobi Equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353 , :
Optimal actuator design via Brunovsky’s normal form
In: IEEE Transactions on Automatic Control 26 (2022)
ISSN: 1558-2523
DOI: 10.1109/TAC.2022.3181222
URL: https://dcn.nat.fau.eu/wp-content/uploads/2108.05629.pdf , :
Turnpike in optimal control of PDEs, ResNets, and beyond
In: Acta Numerica 31 (2022), p. 135-263
ISSN: 0962-4929
DOI: 10.1017/S0962492922000046
URL: https://www.cambridge.org/core/journals/acta-numerica/article/abs/turnpike-in-optimal-control-of-pdes-resnets-and-beyond/A5A8337380F0AC79BD20773659C5DFC8#access-block , :
Linear projection-based CEST parameter estimation
In: NMR in Biomedicine (2022)
ISSN: 0952-3480
DOI: 10.1002/nbm.4697
URL: https://analyticalsciencejournals.onlinelibrary.wiley.com/doi/epdf/10.1002/nbm.4697 , , , , , , , , , , , , , , , :
Optimal Control for ODEs and PDEs: The Turnpike Phenomenon
65th Joint Conference on Automatic Control (Utsunomiya, November 12, 2022 - November 13, 2022)
In: Extended Abstracts of the 65th Joint Conference on Automatic Control 2022 , , :
An energy-based vibration model for beam bridges with multiple constraints
In: Structural Engineering and Mechanics 82 (2022), p. 41-53
ISSN: 1225-4568
DOI: 10.12989/sem.2022.82.1.041 , , , , :
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term
In: Numerische Mathematik (2022)
ISSN: 0029-599X
DOI: 10.1007/s00211-021-01257-w , , :
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term
In: Numerische Mathematik (2022)
ISSN: 0029-599X
DOI: 10.1007/s00211-021-01257-w
(online publication) , , :
Initial data identification for the one-dimensional Burgers equation
In: IEEE Transactions on Automatic Control 67 (2022), p. 3098-3104
ISSN: 1558-2523
DOI: 10.1109/TAC.2021.3096921
URL: https://ieeexplore.ieee.org/document/9484713 , :
Interpolation and approximation via Momentum ResNets and Neural ODEs
In: IEEE Control Systems Letters 162 (2022)
ISSN: 2475-1456
DOI: 10.1016/j.sysconle.2022.105182
URL: https://dcn.nat.fau.eu/wp-content/uploads/InterpolationResNets.pdf , , :
Control of certain parabolic models from biology and social sciences
In: Mathematical Control and Related Fields 12 (2022), p. 955-1038
ISSN: 2156-8472
DOI: 10.3934/mcrf.2022032
(online publication) , :
Sidewise control of 1-d waves
In: Journal of Optimization Theory and Applications 193 (2022), p. 931–949
ISSN: 0022-3239
DOI: 10.1007/s10957-021-01986-w
URL: https://dcn.nat.fau.eu/wp-content/uploads/Sarac-Zuazua_Revised-version.pdf , :
Sidewise Profile Control of 1-D Waves
In: Journal of Optimization Theory and Applications (2022)
ISSN: 0022-3239
DOI: 10.1007/s10957-021-01986-w , :
Numerical Control: Part A
In: Emmanuel Trélat, Enrique Zuazua (ed.): Numerical Control: Part A, North Holland: Elsevier Science & Technology, 2022, p. 1-558
ISBN: 9780323853392
DOI: 10.1016/s1570-8659(22)x0002-1
URL: https://www.elsevier.com/books/numerical-control-part-a/trelat/978-0-323-85059-9 , :
A framework for randomized time-splitting in linear-quadratic optimal control
In: Numerische Mathematik 151 (2022), p. 495–549
ISSN: 0029-599X
DOI: 10.1007/s00211-022-01290-3
URL: https://link.springer.com/article/10.1007/s00211-022-01290-3 , :
Control and Machine Learning
In: SIAM News 55 (2022)
ISSN: 1557-9573 :
SLOW DECAY AND TURNPIKE FOR INFINITE-HORIZON HYPERBOLIC LINEAR QUADRATIC PROBLEMS
In: SIAM Journal on Control and Optimization 60 (2022), p. 2440-2468
ISSN: 0363-0129
DOI: 10.1137/21M1441985 , :
2021
Averaged dynamics and control for heat equations with random diffusion
In: Systems & Control Letters 158 (2021), Article No.: 105055
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2021.105055 , :
Controllability of one-dimensional viscous free boundary flows
In: SIAM Journal on Control and Optimization 59 (2021), p. 1830-1850
ISSN: 0363-0129
DOI: 10.1137/19M1285354 , :
The Finite-Time Turnpike Phenomenonfor Optimal Control Problems:Stabilization by Non-smooth TrackingTerms
In: Grigory Sklyar, Alexander Zuyev (ed.): Stabilization of Distributed Parameter Systems: Design Methods and Applications, 6330 Cham, Switzerland: Springer Nature Switzerland AG.The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland, 2021, p. 17-41 (SEMA SIMAI Springer SeriesICIAM 2019 SEMA SIMAI Springer Series, Vol.2)
DOI: 10.1007/978-3-030-61742-4 , , :
Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105 , :
Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105
URL: https://dcn.nat.fau.eu/wp-content/uploads/heiland-zuazua.pdf , :
Model predictive control with random batch methods for a guiding problem
In: Mathematical Models & Methods in Applied Sciences 31 (2021), p. 1569-1592
ISSN: 0218-2025
DOI: 10.1142/S0218202521500329 , :
The turnpike property in nonlinear optimal control – A geometric approach
In: Automatica 134 (2021), p. 109939
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2021.109939
URL: https://dcn.nat.fau.eu/wp-content/uploads/Turnpike_for_Automatica.pdf , :
The turnpike property in nonlinear optimal control-A geometric approach
In: Automatica 134 (2021)
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2021.109939 , :
Flow decomposition for heat equations with memory
In: Journal De Mathematiques Pures Et Appliquees (2021)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2021.11.005
URL: https://www.sciencedirect.com/science/article/pii/S0021782421001665 , , :
2020
Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation
In: Foundations of Computational Mathematics (2020)
ISSN: 1615-3375
DOI: 10.1007/s10208-020-09445-0 , , :
Controllability of the one-dimensional fractional heat equation under positivity constraints
In: Communications on Pure and Applied Analysis 19 (2020), p. 1949-1978
ISSN: 1534-0392
DOI: 10.3934/cpaa.2020086 , , :
A Stochastic Approach to the Synchronization of Coupled Oscillators
In: Frontiers in Energy Research 8 (2020)
ISSN: 2296-598X
DOI: 10.3389/fenrg.2020.00115 , :
A stochastic approach to the synchronization of coupled oscillators
(2020)
DOI: 10.3389/fenrg.2020.00115
(online publication) , :
The inverse problem for Hamilton-jacobi equations and semiconcave envelopes
In: SIAM Journal on Mathematical Analysis 52 (2020), p. 5627-5657
ISSN: 0036-1410
DOI: 10.1137/20M1330130 , :
The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes
Workshop on Mathematical Analysis (Universidad de Alicante)
DOI: 10.1137/20m1330130 , :
Asymptotic behavior and control of a "guidance by repulsion" model
In: Mathematical Models & Methods in Applied Sciences (2020)
ISSN: 0218-2025
DOI: 10.1142/S0218202520400047 , :
Shape turnpike for linear parabolic PDE models
In: Systems & Control Letters 142 (2020), Article No.: 104733
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2020.104733 , , :
Nonnegative control of finite-dimensional linear systems
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire (2020)
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2020.07.004 , , :
Sparse source identification of linear diffusion–advection equations by adjoint methods
In: Systems & Control Letters 145 (2020), Article No.: 104801
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2020.104801 , :
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
In: Journal De Mathematiques Pures Et Appliquees (2020)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2020.08.006 , :
2019
A two-dimensional flea on the elephant phenomenon and its numerical visualization
In: Multiscale Modeling & Simulation 17 (2019), p. 137-166
ISSN: 1540-3459
DOI: 10.1137/18M1179985 , , :
Dynamics and control for multi-agent networked systems: A finite-difference approach
In: Mathematical Models & Methods in Applied Sciences 29 (2019), p. 755-790
ISSN: 0218-2025
DOI: 10.1142/S0218202519400050 , , :
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions
In: Journal of the Franklin Institute-Engineering and Applied Mathematics (2019)
ISSN: 0016-0032
DOI: 10.1016/j.jfranklin.2020.06.005 , , , , :
Controllability of one-dimensional viscous free boundary flows
(2019)
(online publication) , :
Greedy optimal control for elliptic problems and its application to turnpike problems
In: Numerische Mathematik 141 (2019), p. 455-493
ISSN: 0029-599X
DOI: 10.1007/s00211-018-1005-z , , :
Controllability of shadow reaction-diffusion systems
In: Journal of Differential Equations (2019)
ISSN: 0022-0396
DOI: 10.1016/j.jde.2019.10.012 , :
Turnpike in optimal shape design
11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 (Vienna, September 4, 2019 - September 6, 2019)
In: Lukasz Jadachowski (ed.): IFAC-PapersOnLine 2019
DOI: 10.1016/j.ifacol.2019.12.010 , , :
Inverse design for the one-dimensional Burgers equation
(2019)
(online publication) , :
Internal observability for coupled systems of linear partial differential equations
In: SIAM Journal on Control and Optimization 57 (2019), p. 832-853
ISSN: 0363-0129
DOI: 10.1137/17M1119160 , :
Nonnegative control of finite-dimensional linear systems
(2019)
DOI: 10.1016/j.anihpc.2020.07.004
(online publication) , , :
Controllability and positivity constraints in population dynamics with age structuring and diffusion
In: Journal De Mathematiques Pures Et Appliquees 129 (2019), p. 153-179
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2018.12.006 , , :
Controllability of a class of infinite dimensional systems with age structure
In: Control and Cybernetics 48 (2019), p. 231-260
ISSN: 0324-8569 , , :
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
In: Computational and Applied Mathematics 38 (2019), Article No.: 168
ISSN: 2238-3603
DOI: 10.1007/s40314-019-0935-0 , :
Controllability Under Positivity Constraints of Multi-d Wave Equations
In: Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari (ed.): Trends in Control Theory and Partial Differential Equations, Springer International Publishing, 2019, p. 195-232 (Springer INdAM Series, Vol.32)
ISBN: 978-3-030-17949-6
DOI: 10.1007/978-3-030-17949-6_11 , :
Phase portrait control for 1D monostable and bistable reaction-diffusion equations
In: Nonlinearity 32 (2019), p. 884-909
ISSN: 0951-7715
DOI: 10.1088/1361-6544/aaf07e , , :
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
In: Calculus of Variations and Partial Differential Equations 58 (2019), Article No.: 64
ISSN: 0944-2669
DOI: 10.1007/s00526-019-1522-3 , , :
Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models
(2019)
(online publication) , , :
A Parabolic Approach to the Control of Opinion Spreading
In: Arkadi Berezovski, Tarmo Soomere (ed.): Applied Wave Mathematics II, Springer, 2019, p. 343-363 (Mathematics of Planet Earth, Vol.6)
ISBN: 978-3-030-29950-7
DOI: 10.1007/978-3-030-29951-4 , :
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
(2019)
DOI: 10.1016/j.matpur.2020.08.006
(online publication) , :
The turnpike property in nonlinear optimal control - A geometric approach
58th IEEE Conference on Decision and Control, CDC 2019 (Nice, December 11, 2019 - December 13, 2019)
In: Proceedings of the IEEE Conference on Decision and Control 2019
DOI: 10.1109/CDC40024.2019.9028863 , , :
2018
Preface: A tribute to professor Eduardo Casas on his 60th birthday
In: Mathematical Control and Related Fields 8 (2018), p. i-ii
ISSN: 2156-8472
DOI: 10.3934/mcrf.201801i , , , , :
Local regularity for fractional heat equations
In: SEMA SIMAI Springer Series, Springer International Publishing, 2018, p. 233-249 (SEMA SIMAI Springer Series, Vol.17)
DOI: 10.1007/978-3-319-97613-6_12 , , :
Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms
In: Chinese Annals of Mathematics Series B 39 (2018), p. 281-296
ISSN: 0252-9599
DOI: 10.1007/s11401-018-1064-6 , :
Minimal controllability time for finite-dimensional control systems under state constraints
In: Automatica 96 (2018), p. 380-392
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2018.07.010 , , :
Controllability under positivity constraints of semilinear heat equations
In: Mathematical Control and Related Fields 8 (2018), p. 935-964
ISSN: 2156-8472
DOI: 10.3934/mcrf.2018041 , :
Steady-state and periodic exponential turnpike property for optimal control problems in hilbert spaces
In: SIAM Journal on Control and Optimization 56 (2018), p. 1222-1252
ISSN: 0363-0129
DOI: 10.1137/16M1097638 , , :
Allee optimal control of a system in ecology
In: Mathematical Models & Methods in Applied Sciences 28 (2018), p. 1665-1697
ISSN: 0218-2025
DOI: 10.1142/S021820251840002X , , :
2017
Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian
In: Advanced Nonlinear Studies 17 (2017), p. 837-839
ISSN: 1536-1365
DOI: 10.1515/ans-2017-6020 , , :
Local Elliptic Regularity for the Dirichlet Fractional Laplacian
In: Advanced Nonlinear Studies 17 (2017), p. 387-409
ISSN: 1536-1365
DOI: 10.1515/ans-2017-0014 , , :
Filtered gradient algorithms for inverse design problems of one-dimensional burgers equation
In: Laurent Gosse, Roberto Natalini (ed.): Innovative Algorithms and Analysis, Springer International Publishing, 2017, p. 197-227 (Springer INdAM Series, Vol.16)
ISBN: 978-3-319-49262-9
DOI: 10.1007/978-3-319-49262-9_7 , :
Decay rates for elastic-thermoelastic star-shaped networks
In: Networks and Heterogeneous Media 12 (2017), p. 461-488
ISSN: 1556-1801
DOI: 10.3934/nhm.2017020 , :
A generic uniqueness result for the stokes system and its control theoretical consequences
In: Paolo Marcellini, Giorgio G. Talenti, Edoardo Vesentini (ed.): Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci, CRC Press, 2017, p. 221-235
DOI: 10.1201/9780203744369 , :
Minimal controllability time for the heat equation under unilateral state or control constraints
In: Mathematical Models & Methods in Applied Sciences 27 (2017), p. 1587-1644
ISSN: 0218-2025
DOI: 10.1142/S0218202517500270 , , :
Averaged controllability of parameter dependent conservative semigroups
In: Journal of Differential Equations 262 (2017), p. 1540-1574
ISSN: 0022-0396
DOI: 10.1016/j.jde.2016.10.017 , :
Null controllability for wave equations with memory
In: Journal De Mathematiques Pures Et Appliquees 108 (2017), p. 500-531
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2017.05.001 , , :
Numerical hypocoercivity for the Kolmogorov equation
In: Mathematics of Computation 86 (2017), p. 97-119
ISSN: 0025-5718
DOI: 10.1090/mcom/3157 , :
Actuator design for parabolic distributed parameter systems with the moment method
In: SIAM Journal on Control and Optimization 55 (2017), p. 1128-1152
ISSN: 0363-0129
DOI: 10.1137/16M1058418 , , :
Large time control and turnpike properties for wave equations
In: Annual Reviews in Control 44 (2017), p. 199-210
ISSN: 1367-5788
DOI: 10.1016/j.arcontrol.2017.04.002 :
2016
Numerical aspects of large-time optimal control of Burgers equation
In: ESAIM: Mathematical Modelling and Numerical Analysis 50 (2016), p. 1371-1401
ISSN: 1290-3841
DOI: 10.1051/m2an/2015076 , , :
Numerical aspects of sonic-boom minimization
In: Contemporary Mathematics 2016
DOI: 10.1090/conm/658/13133 , , :
Dispersion for 1-D Schrödinger and wave equations with BV coefficients
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 33 (2016), p. 1473-1495
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2015.06.002 , , :
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
In: Journal of Differential Equations 261 (2016), p. 2809-2853
ISSN: 0022-0396
DOI: 10.1016/j.jde.2016.05.019 , :
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems Dépendance Lipschitz des coefficients comme fonction de la résolvante et approximation greedy pour les problèmes elliptiques scalaires
In: Comptes Rendus Mathematique 354 (2016), p. 1174-1187
ISSN: 1631-073X
DOI: 10.1016/j.crma.2016.10.017 , :
Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis
In: IMA Journal of Numerical Analysis 36 (2016), p. 503-542
ISSN: 0272-4979
DOI: 10.1093/imanum/drv026 , , :
Optimal strategies for driving a mobile agent in a "guidance by repulsion" model
In: Communications in Nonlinear Science and Numerical Simulation 39 (2016), p. 58-72
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2016.02.017 , , :
Null controllability of linear heat and wave equations with nonlocal spatial terms
In: SIAM Journal on Control and Optimization 54 (2016), p. 2009-2019
ISSN: 0363-0129
DOI: 10.1137/15M1044291 , , :
Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property
In: Systems & Control Letters 90 (2016), p. 61-70
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.02.001 , , :
Exact penalization of terminal constraints for optimal control problems
In: Optimal Control Applications & Methods 37 (2016)
ISSN: 0143-2087
DOI: 10.1002/oca.2238
URL: http://onlinelibrary.wiley.com/doi/10.1002/oca.2238/abstract , :
Decay rates for 1-d heat-wave planar networks
In: Networks and Heterogeneous Media 11 (2016), p. 655-692
ISSN: 1556-1801
DOI: 10.3934/nhm.2016013 , :
Greedy controllability of finite dimensional linear systems
In: Automatica 74 (2016), p. 327-340
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2016.08.010 , :
Control of 2D scalar conservation laws in the presence of shocks
In: Mathematics of Computation 85 (2016), p. 1183-1224
ISSN: 0025-5718
DOI: 10.1090/mcom/3015 , :
Norm saturating property of time optimal controls for wave-type equations. This work was partially supported by Grants FA9550-14-1-0214 of the EOARD-AFOSR, FA9550-15-1-0027 of AFOSR and the MTM2014-52347 Grants of the MINECO (Spain)
In: IFAC-PapersOnLine 2016
DOI: 10.1016/j.ifacol.2016.07.415 , :
Averaged controllability for random evolution Partial Differential Equations
In: Journal De Mathematiques Pures Et Appliquees 105 (2016), p. 367-414
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2015.11.004 , :
On the lack of controllability of fractional in time ODE and PDE
In: Mathematics of Control Signals and Systems 28 (2016), Article No.: 10
ISSN: 0932-4194
DOI: 10.1007/s00498-016-0162-9 , :
Remarks on long time versus steady state optimal control
DOI: 10.1007/978-3-319-39092-5_5 , :
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
In: Journal of the European Mathematical Society 18 (2016), p. 1043-1111
ISSN: 1435-9855
DOI: 10.4171/JEMS/608 , , :
Randomised observation, control and stabilization of waves: [Based on the plenary lecture presented at the 86th Annual GAMM Conference, Lecce, Italy, March 24, 2015]
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 96 (2016), p. 538-549
ISSN: 0044-2267
DOI: 10.1002/zamm.201500181 , , :
Stable observation of additive superpositions of Partial Differential Equations
In: Systems & Control Letters 93 (2016), p. 21-29
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.02.017 :
2015
Sparse initial data identification for parabolic PDE and its finite element approximations
In: Mathematical Control and Related Fields 5 (2015), p. 377-399
ISSN: 2156-8472
DOI: 10.3934/mcrf.2015.5.377 , , :
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems
In: Numerische Mathematik 130 (2015), p. 425-466
ISSN: 0029-599X
DOI: 10.1007/s00211-014-0668-3 , :
Weak observability estimates for 1-D wave equations with rough coefficients
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 32 (2015), p. 245-277
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2013.10.004 , :
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws
In: Mathematics of Computation 84 (2015), p. 1633-1662
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-2014-02915-3 , , :
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces
In: Mathematics of Computation 84 (2015), p. 119-152
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-2014-02887-1 , :
Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach
In: Foundations of Computational Mathematics 15 (2015), p. 1571-1636
ISSN: 1615-3375
DOI: 10.1007/s10208-014-9232-x , :
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
In: Discrete and Continuous Dynamical Systems 35 (2015), p. 6133-6153
ISSN: 1078-0947
DOI: 10.3934/dcds.2015.35.6133 , , :
Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data
In: Archive for Rational Mechanics and Analysis 216 (2015), p. 921-981
ISSN: 0003-9527
DOI: 10.1007/s00205-014-0823-0 , , :
The turnpike property in finite-dimensional nonlinear optimal control
In: Journal of Differential Equations 258 (2015), p. 81-114
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.09.005 , :
2014
Null controllability of a system of viscoelasticity with a moving control
In: Journal De Mathematiques Pures Et Appliquees 101 (2014), p. 198-222
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2013.05.009 , , :
Recovery of an initial temperature from discrete sampling
In: Mathematical Models & Methods in Applied Sciences 24 (2014), p. 2487-2501
ISSN: 0218-2025
DOI: 10.1142/S0218202514500262 , :
Averaged control and observation of parameter-depending wave equations
In: Comptes Rendus Mathematique 352 (2014), p. 497-502
ISSN: 1631-073X
DOI: 10.1016/j.crma.2014.04.007 , :
Tracking control of 1D scalar conservation laws in the presence of shocks
In: Vincenzo Ancona, Elisabetta Strickland (ed.): Trends in Contemporary Mathematics, Springer International Publishing, 2014, p. 195-219 (Springer INdAM Series, Vol.8)
DOI: 10.1007/978-3-319-05254-0_15 , :
Robust null controllability for heat equations with unknown switching control mode
In: Discrete and Continuous Dynamical Systems 34 (2014), p. 4183-4210
ISSN: 1078-0947
DOI: 10.3934/dcds.2014.34.4183 , :
Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach
In: Ronald Hoppe (ed.): Optimization with PDE Constraints, Springer Verlag, 2014, p. 285-324 (Lecture Notes in Computational Science and Engineering, Vol.101)
DOI: 10.1007/978-3-319-08025-3_9 , :
Generation of 2D water waves by moving bottom disturbances
In: IMA Journal of Applied Mathematics 80 (2014), p. 1235-1253
ISSN: 0272-4960
DOI: 10.1093/imamat/hxu051 , , :
Optimal shape and location of sensors or actuators in PDE models
2014 American Control Conference, ACC 2014 (USA, June 4, 2014 - June 6, 2014)
In: Proceedings of the American Control Conference 2014
DOI: 10.1109/ACC.2014.6858664 , , :
Averaged control
In: Automatica 50 (2014), p. 3077-3087
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2014.10.054 :
2013
Spike controls for elliptic and parabolic PDEs
In: Systems & Control Letters 62 (2013), p. 311-318
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2013.01.001 , :
Improved multipolar hardy inequalities
In: Massimo Cicognani, Ferruccio Colombini, Daniele Del Santo (ed.): Studies in Phase Space Analysis with Applications to PDEs, Springer US, 2013, p. 35-52 (Progress in Nonlinear Differential Equations and Their Application, Vol.84)
ISBN: 978-1-4614-6348-1
DOI: 10.1007/978-1-4614-6348-1_3 , :
Blowup for a time-oscillating nonlinear heat equation
In: Acta Mathematica Universitatis Comenianae 82 (2013), p. 125-146
ISSN: 0862-9544 , , :
Sensitivity analysis of 1-d steady forced scalar conservation laws
In: Journal of Differential Equations 254 (2013), p. 3817-3834
ISSN: 0022-0396
DOI: 10.1016/j.jde.2013.01.041 , , :
Asymptotic expansions for anisotropic heat kernels
In: Journal of Evolution Equations 13 (2013), p. 1-20
ISSN: 1424-3199
DOI: 10.1007/s00028-012-0166-y , :
Long time versus steady state optimal control
In: SIAM Journal on Control and Optimization 51 (2013), p. 4242-4273
ISSN: 0363-0129
DOI: 10.1137/130907239 , :
Optimal location of controllers for the one-dimensional wave equation
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 30 (2013), p. 1097-1126
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2012.11.005 , , :
Optimal Observation of the One-dimensional Wave Equation
In: Journal of Fourier Analysis and Applications 19 (2013), p. 514-544
ISSN: 1069-5869
DOI: 10.1007/s00041-013-9267-4 , , :
Control and stabilization of waves on 1-d networks
In: Benedetto Piccoli, Michel Rascle (ed.): Modelling and Optimisation of Flows on Networks, Springer Verlag, 2013, p. 463-493 (Lecture Notes in Mathematics, Vol.2062)
DOI: 10.1007/978-3-642-32160-3_9 :
2012
Approximating travelling waves by equilibria of non-local equations
In: Asymptotic Analysis 78 (2012), p. 145-186
ISSN: 0921-7134
DOI: 10.3233/ASY-2011-1088 , , :
Continuous adjoint approach for the spalart-allmaras model in aerodynamic optimization
In: Aiaa Journal 50 (2012), p. 631-646
ISSN: 0001-1452
DOI: 10.2514/1.J051307 , , , :
The Wave Equation: Control and Numerics
In: Lecture Notes in Mathematics 2048 (2012), p. 245-339
ISSN: 0075-8434
DOI: 10.1007/978-3-642-27893-8_5 , :
Convergence rates for dispersive approximation schemes to nonlinear Schrodinger equations
In: Journal De Mathematiques Pures Et Appliquees 98 (2012), p. 479-517
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2012.01.001 , :
ON THE QUADRATIC FINITE ELEMENT APPROXIMATION OF ONE-DIMENSIONAL WAVES: PROPAGATION, OBSERVATION, AND CONTROL
In: SIAM Journal on Numerical Analysis 50 (2012), p. 2744-2777
ISSN: 0036-1429
DOI: 10.1137/110839503 , :
Robust Grid Adaptation for Efficient Uncertainty Quantification
In: Aiaa Journal 50 (2012), p. 1538-1546
ISSN: 0001-1452
DOI: 10.2514/1.J051379 , , , :
Null controllability of viscous Hamilton-Jacobi equations
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 29 (2012), p. 301-333
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2011.11.002 , :
ON THE EQUIVALENCE OF MINIMAL TIME AND MINIMAL NORM CONTROLS FOR INTERNALLY CONTROLLED HEAT EQUATIONS
In: SIAM Journal on Control and Optimization 50 (2012), p. 2938-2958
ISSN: 0363-0129
DOI: 10.1137/110857398 , :
2011
On a nonlocal moving frame approximation of traveling waves
In: Comptes Rendus Mathematique 349 (2011), p. 753-758
ISSN: 1631-073X
DOI: 10.1016/j.crma.2011.07.001 , , :
Large Time Asymptotics for Partially Dissipative Hyperbolic Systems
In: Archive for Rational Mechanics and Analysis 199 (2011), p. 177-227
ISSN: 0003-9527
DOI: 10.1007/s00205-010-0321-y , :
NUMERICAL APPROXIMATION OF A ONE-DIMENSIONAL ELLIPTIC OPTIMAL DESIGN PROBLEM
In: Multiscale Modeling & Simulation 9 (2011), p. 1181-1216
ISSN: 1540-3459
DOI: 10.1137/10081928X , , , :
FLUX IDENTIFICATION FOR 1-d SCALAR CONSERVATION LAWS IN THE PRESENCE OF SHOCKS
In: Mathematics of Computation 80 (2011), p. 2025-2070
ISSN: 0025-5718 , :
Observability of heat processes by transmutation without geometric restrictions
In: Mathematical Control and Related Fields 1 (2011), p. 177-187
ISSN: 2156-8472
DOI: 10.3934/mcrf.2011.1.177 , :
Sharp Observability Estimates for Heat Equations
In: Archive for Rational Mechanics and Analysis 202 (2011), p. 975-1017
ISSN: 0003-9527
DOI: 10.1007/s00205-011-0445-8 , :
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
In: Journal of Differential Equations 250 (2011), p. 2334-2346
ISSN: 0022-0396
DOI: 10.1016/j.jde.2010.11.005 , :
High frequency wave packets for the Schrodinger equation and its numerical approximations
In: Comptes Rendus Mathematique 349 (2011), p. 105-110
ISSN: 1631-073X
DOI: 10.1016/j.crma.2010.11.009 , :
On the regularity of null-controls of the linear 1-d heat equation
In: Comptes Rendus Mathematique 349 (2011), p. 673-677
ISSN: 1631-073X
DOI: 10.1016/j.crma.2011.05.005 , :
Regularity issues for the null-controllability of the linear 1-d heat equation
In: Systems & Control Letters 60 (2011), p. 406-413
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2011.03.005 , :
Switching control
In: Journal of the European Mathematical Society 13 (2011), p. 85-117
ISSN: 1435-9855
DOI: 10.4171/JEMS/245 :
2010
Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
In: Journal of Systems Science & Complexity 23 (2010), p. 414-430
ISSN: 1009-6124
DOI: 10.1007/s11424-010-0137-8 , , :
Asymptotics and stabilization for dynamic models of nonlinear beams
In: Proceedings of the Estonian Academy of Sciences 59 (2010), p. 150-155
ISSN: 1736-6046
DOI: 10.3176/proc.2010.2.14 , , :
Optimal control and vanishing viscosity for the burgers equation
10th International Conference on Integral Methods in Science and Engineering, IMSE 2008 (, July 7, 2008 - July 10, 2008)
In: Integral Methods in Science and Engineering: Analytic Methods 2010
DOI: 10.1007/978-0-8176-4897-8_7 , , :
A SYSTEMATIC METHOD FOR BUILDING SMOOTH CONTROLS FOR SMOOTH DATA
In: Discrete and Continuous Dynamical Systems-Series B 14 (2010), p. 1375-1401
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2010.14.1375 , :
The Hardy inequality and the heat equation in twisted tubes
In: Journal De Mathematiques Pures Et Appliquees 94 (2010), p. 277-303
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2010.02.006 , :
Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the 1-d wave equation
In: Comptes Rendus Mathematique 348 (2010), p. 1087-1092
ISSN: 1631-073X
DOI: 10.1016/j.crma.2010.09.012 , :
Localized solutions for the finite difference semi-discretization of the wave equation
In: Comptes Rendus Mathematique 348 (2010), p. 647-652
ISSN: 1631-073X
DOI: 10.1016/j.crma.2010.03.020 , :
Numerical approximation of null controls for the heat equation : Ill-posedness and remedies
In: Inverse Problems 26 (2010)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/26/8/085018 , :
Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach
In: W. Fitzgibbon, Y.A. Kuznetsov, Pekka Neittaanmäki, Jacques Périaux, Olivier Pironneau (ed.): Applied and Numerical Partial Differential Equations, Springer Netherland, 2010, p. 229-245 (Computational Methods in Applied Sciences, Vol.15)
DOI: 10.1007/978-90-481-3239-3_17 , , :
2009
2-D Euler Shape Design on Nonregular Flows Using Adjoint Rankine-Hugoniot Relations
In: Aiaa Journal 47 (2009), p. 552-562
ISSN: 0001-1452
DOI: 10.2514/1.37149 , , , :
Some controllability results for the 2D Kolmogorov equation
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 26 (2009), p. 1793-1815
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2008.12.005 , :
IDENTIFICATION OF THE CLASS OF INITIAL DATA FOR THE INSENSITIZING CONTROL OF THE HEAT EQUATION
In: Communications on Pure and Applied Analysis 8 (2009), p. 457-471
ISSN: 1534-0392
DOI: 10.3934/cpaa.2009.8.457 , :
Uniform exponential decay for viscous damped systems*
Siena workshop was in honor of Ferruccio Colombini on the occasion of his 60th birthday, 2007 (Siena, October 10, 2007 - October 13, 2007)
In: Daniele Del Santo, M.K. Venkatesha Murthy, Antonio Bove (ed.): Progress in Nonlinear Differential Equations and Their Application 2009
DOI: 10.1007/978-0-8176-4861-9_6 , :
Uniformly exponentially stable approximations for a class of damped systems
In: Journal De Mathematiques Pures Et Appliquees 91 (2009), p. 20-48
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2008.09.002 , :
Convergence of a two-grid algorithm for the control of the wave equation
In: Journal of the European Mathematical Society 11 (2009), p. 351-391
ISSN: 1435-9855 , :
NUMERICAL DISPERSIVE SCHEMES FOR THE NONLINEAR SCHRODINGER EQUATION
In: SIAM Journal on Numerical Analysis 47 (2009), p. 1366-1390
ISSN: 0036-1429
DOI: 10.1137/070683787 , :
Null-controllability of the heat equation in unbounded domains
In: Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2009, p. 163-168 , :
Stabilization of the wave equation on 1-D networks
In: SIAM Journal on Control and Optimization 48 (2009), p. 2771-2797
ISSN: 0363-0129
DOI: 10.1137/080733590 , :
HARDY INEQUALITIES, OBSERVABILITY, AND CONTROL FOR THE WAVE AND SCHRODINGER EQUATIONS WITH SINGULAR POTENTIALS
In: SIAM Journal on Mathematical Analysis 41 (2009), p. 1508-1532
ISSN: 0036-1410
DOI: 10.1137/080731396 , :
TIME DISCRETE WAVE EQUATIONS: BOUNDARY OBSERVABILITY AND CONTROL
In: Discrete and Continuous Dynamical Systems 23 (2009), p. 571-604
ISSN: 1078-0947
DOI: 10.3934/dcds.2009.23.571 , , :
Exact controllability of the semi-linear wave equation
In: Vincent D. Blondel, Alexandre Megretski (ed.): Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2009, p. 173-178
ISBN: 9781400826155 , :
2008
Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system
In: SIAM Journal on Control and Optimization 47 (2008), p. 1909-1938
ISSN: 0363-0129
DOI: 10.1137/060659934 , :
An alternating descent method for the optimal control of the inviscid burgers equation in the presence of shocks
In: Mathematical Models & Methods in Applied Sciences 18 (2008), p. 369-416
ISSN: 0218-2025 , , :
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 25 (2008), p. 1-41
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2006.07.005 , , :
On the observability of time-discrete conservative linear systems
In: Journal of Functional Analysis 254 (2008), p. 3037-3078
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2008.03.005 , , :
Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete waves
In: Numerische Mathematik 109 (2008), p. 597-634
ISSN: 0029-599X
DOI: 10.1007/s00211-008-0153-y , :
Null controllability for the heat equation with singular inverse-square potentials
In: Journal of Functional Analysis 254 (2008), p. 1864-1902
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2007.12.015 , :
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