Optimal control and ``strange term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case
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Publication:2243823
DOI10.1134/S1064562420060253zbMath1479.35252OpenAlexW3135038545MaRDI QIDQ2243823
A. V. Podol'skii, Tatiana A. Shaposhnikova
Publication date: 11 November 2021
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562420060253
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (3)
On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape ⋮ On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms ⋮ Homogenization of the optimal control problem for the Dirichlet cost functional and the Poisson state problem with rapidly alternating boundary conditions in critical case
Cites Work
- Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem
- Optimal control and ``strange term for a Stokes problem in perforated domains
- Optimal control of the obstacle problem in a perforated domain
- Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case
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