Optimal control in coefficients of boundary value problems with a unilateral inner obstacle
type: Item
instance of: scholarly article
title: Optimal control in coefficients of boundary value problems with a unilateral inner obstacle
zbMATH Open document ID: 0854.65050
DOI: 10.1016/0377-0427(95)00083-6
published in: Journal of Computational and Applied Mathematics
publication date: 1996-08-21T00:00:00Z
review text: The author solves some classes of nonsmooth optimization problems, where the state problem is given in the form of a state variational inequality with coefficients as control variables. Problems of optimal control have been solved mostly for state equations and classical boundary conditions. Existence of a nonsmooth optimal control is proven on the abstract level. They prove the continuous dependence of the solutions of variational inequalities with respect to the \(G\)-convergence of the operators involved. Using the results of \(G\)-convergence theory it is shown that there exists an optimal solution of an extended control problem.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 903509
zbMATH Keywords: bilinear form
zbMATH Keywords: symmetric operator
zbMATH Keywords: nonsmooth optimization
zbMATH Keywords: variational inequality
zbMATH Keywords: optimal control
zbMATH Keywords: \(G\)-convergence
author: Jan Lovíšek
reviewed by: George S. Stavrakakis
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00083-6
OpenAlex ID: W2044542693
cites work: Q3694130
cites work: Q4103899
cites work: Q3943529
cites work: \(G\)-closure of a set of anisotropically conducting media in the two-dimensional case
cites work: Q3916882
cites work: Optimal control in coefficients of boundary value problems with unilateral constraints
cites work: Q5562938
cites work: On the continuity of the Young-Fenchel transform
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description: scientific article; zbMATH DE number 903509