Homogenization of the optimal control problem for the Dirichlet cost functional and the Poisson state problem with rapidly alternating boundary conditions in critical case
DOI10.1007/s13398-022-01312-7zbMath1498.35031OpenAlexW4294578330MaRDI QIDQ2081226
A. V. Podol'skii, Tatiana A. Shaposhnikova
Publication date: 12 October 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-022-01312-7
Control/observation systems governed by partial differential equations (93C20) Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Linear optimal control problems (49N05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On homogenization of a mixed boundary optimal control problem.
- Optimal control on perforated domains
- Optimal control and ``strange term for a Stokes problem in perforated domains
- Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case
- Boundary control and homogenization: optimal climatization through smart double skin boundaries.
- 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
- 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
- Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis ``nano-composite membranes
- Homogenization of the boundary value problem for the Poisson equation with rapidly oscillating nonlinear boundary conditions: Space dimension \(n \geq 3\), critical case
- Homogenization of a boundary value problem for the \(n\)-Laplace operator on a \(n\)-dimensional domain with rapidly alternating boundary condition type: the critical case
- Optimal control of the obstacle problem in a perforated domain
- Homogenization of an Optimal Control Problem
- Nonlinear Reaction-Diffusion Processes for Nanocomposites
- Exact and Approximate Controllability for Distributed Parameter Systems
This page was built for publication: Homogenization of the optimal control problem for the Dirichlet cost functional and the Poisson state problem with rapidly alternating boundary conditions in critical case