Optimal control for semilinear evolutionary variational bilateral problem.
type: Item
instance of: scholarly article
title: Optimal control for semilinear evolutionary variational bilateral problem.
zbMATH Open document ID: 1052.49023
DOI: 10.1016/S0022-247X(02)00569-3
author: Qi Hong Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-04-09T00:00:00Z
review text: The author proves the existence of a minimum for an optimal control problem of a parabolic type variational inequality. Then he derives a kind of Pontryagin's principle for this minimum.
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35K85
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1895770
zbMATH Keywords: optimal control
zbMATH Keywords: partial differential equations
zbMATH Keywords: Pontryagin's principle
zbMATH Keywords: existence of a minimum
zbMATH Keywords: evolutionary bilateral variational inequality
reviewed by: J. Frédéric Bonnans
MaRDI profile type: Publication
cites work: Optimal control of the obstacle for an elliptic variational inequality
cites work: Q3694130
cites work: Analysis and control of nonlinear infinite dimensional systems
cites work: Pontryagin's principle in the control of semilinear elliptic variational inequalities
cites work: Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
cites work: Q4743352
cites work: Indirect Obstacle Control Problem for Semilinear Elliptic Variational Inequalities
cites work: Indirect obstacle minimax control for elliptic variational inequalities
cites work: Nonconvex minimization problems
cites work: Q3678248
cites work: Optimal Control for Variational Inequalities
cites work: Optimal Control for Parabolic Variational Inequalities
cites work: Pontryagin Maximum Principle for Semilinear and Quasilinear Parabolic Equations with Pointwise State Constraints
cites work: Q3905599
cites work: Q5562267
cites work: Necessary Conditions for Optimal Control of Distributed Parameter Systems
cites work: Q5601627
cites work: Optimal Control in Some Variational Inequalities
cites work: Q3745373
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: Q3801969
cites work: Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints
cites work: Optimal control for nonlinear abstract evolution systems
description: scientific article; zbMATH DE number 1895770