Stackelberg–Nash exact controllability for linear and semilinear parabolic equations
ESAIM: COCV, 21 3 (2015) 835-856
Published online: 2015-05-20
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:
This article has been cited by the following article(s):
A Hierarchical Control Problem for the Benney–Lin Equation Using Stackelberg–Nash Strategy
Manish Kumar and Subrata MajumdarApplied Mathematics & Optimization 93 (1) (2026)
https://doi.org/10.1007/s00245-025-10346-3
Insensitizing the tangential gradient for reaction–diffusion equations with dynamic boundary conditions
Roberto Morales, Maurício C. Santos and Nicolás CarreñoJournal of Optimization Theory and Applications 208 (1) (2026)
https://doi.org/10.1007/s10957-025-02881-4
Hierarchical null controllability of a semilinear degenerate parabolic equation with a gradient term
Landry Djomegne, Cyrille Kenne, René Dorville and Pascal ZongoOptimization 74 (15) 4007 (2025)
https://doi.org/10.1080/02331934.2024.2394608
A Class of Multiobjective Control Problems for Quasi-Linear Parabolic Equations
Yanming Dong, Xu Liu and Xu ZhangSIAM Journal on Control and Optimization 63 (5) 3781 (2025)
https://doi.org/10.1137/24M1709078
Hierarchical exact controllability of the fourth-order parabolic equations
Fang Li and Bo YouCommunications in Contemporary Mathematics 27 (10) (2025)
https://doi.org/10.1142/S0219199725500245
Stackelberg–Nash Null Controllability for Stochastic Parabolic Equations
Omar Oukdach, Said Boulite, Abdellatif Elgrou and Lahcen ManiarMathematical Methods in the Applied Sciences 48 (13) 13164 (2025)
https://doi.org/10.1002/mma.11092
Controle ótimo em equações de ondas via equilíbrios de Nash e Pareto
Pitágoras Pinheiro de Carvalho and Gildenia R. Sousa-NetoBoletim da Sociedade Paranaense de Matemática 43 (2025)
https://doi.org/10.5269/bspm.68317
Multi-objective Control for Stochastic Parabolic Equations with Dynamic Boundary Conditions
Omar Oukdach, Said Boulite, Abdellatif Elgrou and Lahcen ManiarJournal of Optimization Theory and Applications 204 (3) (2025)
https://doi.org/10.1007/s10957-025-02623-6
Stackelberg strategy on a degenerate parabolic equation with missing data
Landry Djomegne, Cyrille Kenne and Romario Gildas Foko TiomelaOptimization 1 (2025)
https://doi.org/10.1080/02331934.2025.2466032
Equivalent conditions of null controllability for controlled stochastic relaxed system
Yuanhang LiuOptimization 74 (16) 4321 (2025)
https://doi.org/10.1080/02331934.2024.2402443
Hierarchic control for a nonlinear parabolic equation in an unbounded domain
L. L. Djomegne NjoukoueApplicable Analysis 104 (1) 94 (2025)
https://doi.org/10.1080/00036811.2021.1991327
Hierarchical exact controllability of a parabolic equation with boundary controls
Landry Djomegne and Cyrille KenneJournal of Mathematical Analysis and Applications 542 (2) 128799 (2025)
https://doi.org/10.1016/j.jmaa.2024.128799
Optimality conditions for a class of multi-objective control problems
Yanming Dong and Xu LiuESAIM: Control, Optimisation and Calculus of Variations 31 87 (2025)
https://doi.org/10.1051/cocv/2025074
Hierarchical Control for the Oldroyd Equation in Memoriam to Professor Luiz Adauto Medeiros
ISAÍAS P. DE JESUS, MARCONDES R. CLARK, ALEXANDRO M. OLIVEIRA and ALDO T. LOURÊDOAnais da Academia Brasileira de Ciências 96 (suppl 1) (2024)
https://doi.org/10.1590/0001-3765202420240410
Bi-objective and hierarchical control for the Burgers equation
F. D. Araruna, E. Fernández-Cara and L. C. da SilvaJournal of Evolution Equations 24 (2) (2024)
https://doi.org/10.1007/s00028-024-00952-z
Stackelberg exact controllability for the Boussinesq system
Takéo Takahashi, Luz de Teresa and Yingying Wu-ZhangNonlinear Differential Equations and Applications NoDEA 31 (5) (2024)
https://doi.org/10.1007/s00030-024-00971-2
Hierarchical control problem for the heat equation with dynamic boundary conditions
Omar Oukdach, Idriss Boutaayamou and Lahcen ManiarIMA Journal of Mathematical Control and Information 41 (2) 255 (2024)
https://doi.org/10.1093/imamci/dnae009
Stackelberg exact controllability of a class of nonlocal parabolic equations
Landry Djomegne and Cyrille KenneESAIM: Control, Optimisation and Calculus of Variations 30 57 (2024)
https://doi.org/10.1051/cocv/2024045
Hierarchical control for the semilinear parabolic equations with interior degeneracy
Hang Gao, Wei Yang and Muming ZhangJournal of Mathematical Analysis and Applications 534 (1) 128092 (2024)
https://doi.org/10.1016/j.jmaa.2024.128092
Two Multiobjective Problems for Stochastic Degenerate Parabolic Equations
Yongyi Yu and Ji-Feng ZhangSIAM Journal on Control and Optimization 61 (4) 2708 (2023)
https://doi.org/10.1137/22M1510194
Stackelberg-Nash exact controllability for the Kuramoto-Sivashinsky equation with boundary and distributed controls
Nicolás Carreño and Maurício C. SantosJournal of Differential Equations 343 1 (2023)
https://doi.org/10.1016/j.jde.2022.10.002
On a multi-objective control problem for the Korteweg–de Vries equation
Islanita C. A. Albuquerque, Fágner D. Araruna and Maurício C. SantosCalculus of Variations and Partial Differential Equations 62 (4) (2023)
https://doi.org/10.1007/s00526-023-02471-0
Hierarchical Controllability for a Nonlinear Parabolic Equation in One Dimension
Miguel R. Nuñez-Chávez and Juan B. Límaco FerrelJournal of Optimization Theory and Applications 198 (1) 1 (2023)
https://doi.org/10.1007/s10957-023-02217-0
Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions
Idriss Boutaayamou, Lahcen Maniar and Omar OukdachEvolution Equations and Control Theory 11 (4) 1285 (2022)
https://doi.org/10.3934/eect.2021044
https://doi.org/10.1016/bs.hna.2021.12.005
Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations
Pedro González Casanova and Víctor Hernández-SantamaríaAdvances in Computational Mathematics 47 (5) (2021)
https://doi.org/10.1007/s10444-021-09885-4
Some numerical results for control of 3D heat equations using Nash equilibrium
Pitágoras Pinheiro de CarvalhoComputational and Applied Mathematics 40 (3) (2021)
https://doi.org/10.1007/s40314-021-01488-5
Controllability for the wave equation with moving boundary
Isaias P. de Jesus, Eugenio Cabanillas Lapa and Juan LimacoElectronic Journal of Differential Equations 2021 (01-104) 60 (2021)
https://doi.org/10.58997/ejde.2021.60
Numerical Stackelberg--Nash Control for the Heat Equation
Pitágoras P. de Carvalho and Enrique Fernández-CaraSIAM Journal on Scientific Computing 42 (5) A2678 (2020)
https://doi.org/10.1137/19M1253320
Hierarchical exact controllability of semilinear parabolic equations with distributed and boundary controls
F. D. Araruna, E. Fernández-Cara and L. C. da SilvaCommunications in Contemporary Mathematics 22 (07) 1950034 (2020)
https://doi.org/10.1142/S0219199719500342
Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain
Isaías Pereira de JesusMediterranean Journal of Mathematics 16 (5) (2019)
https://doi.org/10.1007/s00009-019-1393-z
Stackelberg–Nash exact controllability for the Kuramoto–Sivashinsky equation
N. Carreño and M.C. SantosJournal of Differential Equations 266 (9) 6068 (2019)
https://doi.org/10.1016/j.jde.2018.10.043
Carleman Estimates for Some Two-Dimensional Degenerate Parabolic PDEs and Applications
F. D. Araruna, B. S. V. Araújo and E. Fernández-CaraSIAM Journal on Control and Optimization 57 (6) 3985 (2019)
https://doi.org/10.1137/18M1219801
On the Computation of Nash and Pareto Equilibria for Some Bi-objective Control Problems
Pitágoras P. Carvalho and Enrique Fernández-CaraJournal of Scientific Computing 78 (1) 246 (2019)
https://doi.org/10.1007/s10915-018-0764-0
Robust Stackelberg controllability for the Navier–Stokes equations
Cristhian Montoya and Luz de TeresaNonlinear Differential Equations and Applications NoDEA 25 (5) (2018)
https://doi.org/10.1007/s00030-018-0537-3
Hierarchical Control for the One-dimensional Plate Equation with a Moving Boundary
I. P. de Jesus, J. Limaco and M. R. ClarkJournal of Dynamical and Control Systems 24 (4) 635 (2018)
https://doi.org/10.1007/s10883-018-9413-z
Stackelberg–Nash null controllability for some linear and semilinear degenerate parabolic equations
F. D. Araruna, B. S. V. Araújo and E. Fernández-CaraMathematics of Control, Signals, and Systems 30 (3) (2018)
https://doi.org/10.1007/s00498-018-0220-6
Hierarchic Control for the Wave Equation
Fágner Dias Araruna, Enrique Fernández-Cara and Luciano Cipriano da SilvaJournal of Optimization Theory and Applications 178 (1) 264 (2018)
https://doi.org/10.1007/s10957-018-1277-6
Recent Advances in PDEs: Analysis, Numerics and Control
Víctor Hernández-Santamaría and Luz de TeresaSEMA SIMAI Springer Series, Recent Advances in PDEs: Analysis, Numerics and Control 17 117 (2018)
https://doi.org/10.1007/978-3-319-97613-6_7
Approximate controllability for a one-dimensional wave equation with the fixed endpoint control
Isaías Pereira de JesusJournal of Differential Equations 263 (9) 5175 (2017)
https://doi.org/10.1016/j.jde.2017.06.014
New results on the Stackelberg–Nash exact control of linear parabolic equations
F.D. Araruna, E. Fernández-Cara, S. Guerrero and M.C. SantosSystems & Control Letters 104 78 (2017)
https://doi.org/10.1016/j.sysconle.2017.03.009
Hierarchic control for the one-dimensional wave equation in domains with moving boundary
Isaías Pereira de JesusNonlinear Analysis: Real World Applications 32 377 (2016)
https://doi.org/10.1016/j.nonrwa.2016.05.006
Hierarchical Control for the Wave Equation with a Moving Boundary
Isaías Pereira de JesusJournal of Optimization Theory and Applications 171 (1) 336 (2016)
https://doi.org/10.1007/s10957-016-0984-0
On the hierarchical optimal control of a chain of distributed systems
Eduardo L. Pasiliao and Getachew K. BefekaduJournal of Dynamics and Games 2 (2) 187 (2015)
https://doi.org/10.3934/jdg.2015.2.187