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Optimal Control of Parabolic Equations – A Spectral Calculus Based Approach
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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
Exact controllability of semilinear heat equations through a constructive approach
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Idriss Boutaayamou, Lahcen Maniar and Omar Oukdach Evolution Equations and Control Theory 11(4) 1285 (2022) https://doi.org/10.3934/eect.2021044
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
Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation
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
Multilevel Selective Harmonic Modulation by Duality*
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
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
Local Null-Controllability of a Nonlocal Semilinear Heat Equation
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
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
Recent Advances in PDEs: Analysis, Numerics and Control
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
Inverse problems for linear parabolic equations using mixed formulations – Part 1: Theoretical analysis
Transformation operators in controllability problems for the wave equations with variable coefficients on a half-axis
controlled by the Dirichlet boundary condition