Suboptimal boundary controls for elliptic equation in critically perforated domain

DOI10.1016/j.anihpc.2007.07.001zbMath1170.35015OpenAlexW2064795035MaRDI QIDQ957580

Peter I. Kogut, Ciro D' Apice, Umberto De Maio

Publication date: 28 November 2008

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78824

zbMATH Keywords

optimal controlhomogenizationperforated domainvariational convergencemeasure approach

Mathematics Subject Classification ID

Related Items (5)

On Existence and Attainability of Solutions to Optimal Control Problems in Coefficients for Degenerate Variational Inequalities of Monotone Type ⋮ Spectral problem in a domain perforated along the boundary. Perturbation of a multiple eigenvalue ⋮ Optimal control in coefficients for degenerate linear parabolic equations ⋮ Shape stability of optimal control problems in coefficients for coupled system of Hammerstein type ⋮ Attainability issue for the optimal control problem in coefficients for a degenerate parabolic variational inequality

Cites Work

• On the convergence of hyperbolic semigroups in variable Hilbert spaces
• Homogenization in open sets with holes
• Gamma-convergence and optimal control problems
• Optimal control on perforated domains
• Optimal control and ``strange term for a Stokes problem in perforated domains
• Homogenization in perforated domains with mixed conditions
• Exact boundary controllability of a nonlinear KdV equation with critical lengths
• Exact boundary controllability for the wave equation in domains with small holes
• Homogenization of Thin Structures by Two-Scale Method with Respect to Measures
• Non-homogeneous Neumann problems in domains with small holes
• S-convergence in the theory of homogenization of problems of optimal control
• On an extension of the method of two-scale convergence and its applications
• On \(S\)-homogenization of an optimal control problem with control and state constraints
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