On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms

DOI10.1016/j.jmaa.2021.125559zbMath1479.35251OpenAlexW3164439493MaRDI QIDQ2236027

A. V. Podol'skii, Jesús Ildefonso Díaz, Tatiana A. Shaposhnikova

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125559

zbMATH Keywords

convergence of solutionsoptimal control problemLaplacian operatorRobin problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape ⋮ An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆ ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Homogenization of the optimal control problem for the Dirichlet cost functional and the Poisson state problem with rapidly alternating boundary conditions in critical case

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