Víctor Hernández-Santamaría

Optimal control of linear non-local parabolic problems with an integral kernel

Umberto Biccari, Víctor Hernández-Santamaría, Loic Louison, Abdennebi Omrane. Optimal control of linear non-local parabolic problems with an integral kernel. (2021) Abstract. We consider a linear non-local heat equation in a bounded…

Existence and cost of boundary controls for a degenerate/singular parabolic equation

Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble. Existence and cost of boundary controls for a degenerate/singular parabolic equation (2022). Mathematical Control and Related Fields, Vol. 12, No.2, pp. 495-530, doi: 10.3934/mcrf.2021032…

Null controllability of a nonlocal heat equation with an additive integral kernel

U. Biccari, V. Hernández-Santamaría Null controllability of a nonlocal heat equation with an additive integral kernel. SIAM J. Control Optim., Vol. 57, No. 4 (2019), pp. 2924-2938, DOI: 10.1137/18M1218431 Abstract:…

Greedy optimal control for elliptic problems and its application to turnpike problems

Hernández-Santamaría V., Lazar M., Zuazua E. Greedy optimal control for elliptic problems and itsapplication to turnpike problemsNUMER MATH. Vol. 141, No. 2, pp.455-493 (2019) DOI: 10.1007/s00211-018-1005-z Abstract: We adapt and…

Controllability of shadow reaction-diffusion systems

Hernández-Santamaría V., E. Zuazua. Controllability of shadow reaction-diffusion systems. J Differ Equations, Vol. 268, No. 7, pp. 3781-3818 (2020). DOI: 10.1016/j.jde.2019.10.012 Abstract: We study the null controllability of linear shadow…

Corrigendum and addendum to “Hierarchic control for a coupled parabolic system”

Hernández-Santamaría V., de Teresa L., Poznyak A. Corrigendum and addendum to “Hierarchic control for a coupled parabolic system" . Portugaliae Math, Vol. 74, No. 2 (2017), pp.115-137. DOI: 10.4171/PM/1998 Abstract:…

Insensitizing controls for a semilinear parabolic equation: a numerical approach

Hernández-Santamaría V., de Teresa L., Boyer, F. Insensitizing controls for a semilinear parabolic equation: a numerical approach , MATH CONTROL RELAT F. AIMS. Vol. 9. No. 1 (2019), pp. 117-158, DOI:10.3934/mcrf.2019007…

Robust Stackelberg controllability for linear and semilinear heat equations

Hernández-Santamaría V., de Teresa L. Robust Stackelberg controllability for linear and semilinear heat equations. Evolution Equations & Control Theory AIMS, Vol.7, No. 2 (2018), pp.247-273, DOI:10.3934/eect.2018012 Abstract: In this paper…

The Poisson equation from non-local to local

U. Biccari, V. Hernández-Santamaría The Poisson equation from non-local to local, Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 145, pp. 1-13. DOI: arXiv:1801.09470 Abstract: We analyze the limit…

Hierarchic control for a coupled parabolic system

Hernández-Santamaría V., de Teresa L., Poznyak A. Hierarchic control for a coupled parabolic system . Port. Math. Vol. 73 (2016), pp. 115-137, DOI: 10.4171/PM/1979 Abstract: In this paper we study…

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

U. Biccari, V. Hernández-Santamaría Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects, IMA J. Math. Control Inf., Vol. 36, No. 4 (2019), pp. 1199-1235. DOI: 10.1093/imamci/dny025 Abstract:…

Optimal control of linear non-local parabolic problems with an integral kernel

Existence and cost of boundary controls for a degenerate/singular parabolic equation

Null controllability of a nonlocal heat equation with an additive integral kernel

Greedy optimal control for elliptic problems and its application to turnpike problems

Controllability of shadow reaction-diffusion systems

Corrigendum and addendum to “Hierarchic control for a coupled parabolic system”

Insensitizing controls for a semilinear parabolic equation: a numerical approach

Robust Stackelberg controllability for linear and semilinear heat equations

The Poisson equation from non-local to local

Hierarchic control for a coupled parabolic system

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

Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications

Deep Neural Networks: Multi-Classification and Universal Approximation

Optimized classification with neural odes via separability

Approximate and Weighted Data Reconstruction Attack in Federated Learning

Stability and Convergence of a Randomized Model Predictive Control Strategy