Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Constructive exact control of semilinear 1D heat equations

Jérôme Lemoine and Arnaud Münch
Mathematical Control and Related Fields 13 (1) 382 (2023)
https://doi.org/10.3934/mcrf.2022001

Optimal Control of Parabolic Equations – A Spectral Calculus Based Approach

Luka Grubišić, Martin Lazar, Ivica Nakić and Martin Tautenhahn
SIAM Journal on Control and Optimization 61 (5) 2802 (2023)
https://doi.org/10.1137/21M1449762

Exact controllability of semilinear heat equations through a constructive approach

Sylvain Ervedoza, Jérôme Lemoine and Arnaud Münch
Evolution Equations and Control Theory 12 (2) 567 (2023)
https://doi.org/10.3934/eect.2022042

Local null controllability of a quasi-linear system and related numerical experiments

Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten and Denilson Menezes
ESAIM: Control, Optimisation and Calculus of Variations 29 27 (2023)
https://doi.org/10.1051/cocv/2023009

Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system

Víctor Hernández-Santamaría
Evolution Equations and Control Theory 12 (2) 459 (2023)
https://doi.org/10.3934/eect.2022038

New results concerning the hierarchical control of linear and semilinear parabolic equations

Bianca M.R. Calsavara, Enrique Fernández-Cara, Luz de Teresa and José Antonio Villa
ESAIM: Control, Optimisation and Calculus of Variations 28 14 (2022)
https://doi.org/10.1051/cocv/2022011

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Jérôme Le Rousseau, Gilles Lebeau and Luc Robbiano
Progress in Nonlinear Differential Equations and Their Applications, Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I 97 251 (2022)
https://doi.org/10.1007/978-3-030-88674-5_7

Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions

Idriss Boutaayamou, Lahcen Maniar and Omar Oukdach
Evolution Equations and Control Theory 11 (4) 1285 (2022)
https://doi.org/10.3934/eect.2021044

Logarithmic convexity and impulsive controllability for the one-dimensional heat equation with dynamic boundary conditions

Salah-Eddine Chorfi, Ghita El Guermai, Lahcen Maniar and Walid Zouhair
IMA Journal of Mathematical Control and Information 39 (3) 861 (2022)
https://doi.org/10.1093/imamci/dnac013

Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation

Eduardo Cerpa, Rogrido Lecaros, Thuy N.T. Nguyen and Ariel Pérez
Journal de Mathématiques Pures et Appliquées (2022)
https://doi.org/10.1016/j.matpur.2022.06.003

Approximation of null controls for semilinear heat equations using a least-squares approach

Jérôme Lemoine, Irene Marín-Gayte, Arnaud Münch, et al.
ESAIM: Control, Optimisation and Calculus of Variations 27 63 (2021)
https://doi.org/10.1051/cocv/2021062

Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type conditions

Kuntal Bhandari, Franck Boyer and Víctor Hernández-Santamaría
Mathematics of Control, Signals, and Systems 33 (3) 413 (2021)
https://doi.org/10.1007/s00498-021-00285-z

State-constrained controllability of linear reaction-diffusion systems

Pierre Lissy, Clément Moreau, G. Buttazzo, et al.
ESAIM: Control, Optimisation and Calculus of Variations 27 70 (2021)
https://doi.org/10.1051/cocv/2021057

Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations

Pedro González Casanova and Víctor Hernández-Santamaría
Advances in Computational Mathematics 47 (5) (2021)
https://doi.org/10.1007/s10444-021-09885-4

Local Null-Controllability of a Nonlocal Semilinear Heat Equation

Víctor Hernández-Santamaría and Kévin Le Balc’h
Applied Mathematics & Optimization 84 (2) 1435 (2021)
https://doi.org/10.1007/s00245-020-09683-2

Carleman estimates for time-discrete parabolic equations and applications to controllability

Franck Boyer and Víctor Hernández-Santamaría
ESAIM: Control, Optimisation and Calculus of Variations 26 12 (2020)
https://doi.org/10.1051/cocv/2019072

Characterization by observability inequalities of controllability and stabilization properties

Emmanuel Trélat, Gengsheng Wang and Yashan Xu
Pure and Applied Analysis 2 (1) 93 (2020)
https://doi.org/10.2140/paa.2020.2.93

Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects

Víctor Hernández-Santamaría and Umberto Biccari
IMA Journal of Mathematical Control and Information 36 (4) 1199 (2019)
https://doi.org/10.1093/imamci/dny025

Spectral analysis of discrete elliptic operators and applications in control theory

Damien Allonsius, Franck Boyer and Morgan Morancey
Numerische Mathematik 140 (4) 857 (2018)
https://doi.org/10.1007/s00211-018-0983-1

On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier–Stokes Equations

Enrique Fernández-Cara, Arnaud Münch and Diego A. Souza
Journal of Scientific Computing 70 (2) 819 (2017)
https://doi.org/10.1007/s10915-016-0266-x

On the Theoretical and Numerical Control of a One-Dimensional Nonlinear Parabolic Partial Differential Equation

Enrique Fernández-Cara, Dany Nina-Huamán, Miguel R. Nuñez-Chávez and Franciane B. Vieira
Journal of Optimization Theory and Applications 175 (3) 652 (2017)
https://doi.org/10.1007/s10957-017-1190-4

Minimal controllability time for the heat equation under unilateral state or control constraints

Jérôme Lohéac, Emmanuel Trélat and Enrique Zuazua
Mathematical Models and Methods in Applied Sciences 27 (09) 1587 (2017)
https://doi.org/10.1142/S0218202517500270

Inverse problems for linear parabolic equations using mixed formulations – Part 1: Theoretical analysis

Arnaud Münch and Diego A. Souza
Journal of Inverse and Ill-posed Problems 25 (4) 445 (2017)
https://doi.org/10.1515/jiip-2015-0112

From averaged to simultaneous controllability

Jérôme Lohéac and Enrique Zuazua
Annales de la Faculté des sciences de Toulouse : Mathématiques 25 (4) 785 (2016)
https://doi.org/10.5802/afst.1511

A mixed formulation for the direct approximation of L 2-weighted controls for the linear heat equation

Arnaud Münch and Diego A. Souza
Advances in Computational Mathematics 42 (1) 85 (2016)
https://doi.org/10.1007/s10444-015-9412-5

Partial null controllability of parabolic linear systems

Farid Ammar Khodja, Franz Chouly and Michel Duprez
Mathematical Control and Related Fields 6 (2) 185 (2016)
https://doi.org/10.3934/mcrf.2016001

Transformation operators in controllability problems for the wave equations with variable coefficients on a half-axis controlled by the Dirichlet boundary condition

Larissa V. Fardigola
Mathematical Control & Related Fields 5 (1) 31 (2015)
https://doi.org/10.3934/mcrf.2015.5.31

Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients

Franck Boyer and Guillaume Olive
Mathematical Control & Related Fields 4 (3) 263 (2014)
https://doi.org/10.3934/mcrf.2014.4.263