Maximum principle in optimal control problems for elliptic equations
type: Item
instance of: scholarly article
title: Maximum principle in optimal control problems for elliptic equations
zbMATH Open document ID: 0598.49015
DOI: 10.4171/ZAA/200
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1986-01-01T00:00:00Z
review text: Problems of optimal control for quasilinear elliptic differential equations of second order with integral constraints are considered. The main emphasis is on those cases with non-convex sets of admissible controls where all coefficients of the state equation depend on the controls. Necessary optimality conditions in a form of a maximum principle are derived under assumptions analogous to those under which the linearized maximum principle holds in the case of convex sets of admissible controls.
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 3964826
zbMATH Keywords: quasilinear elliptic differential equations of second order
zbMATH Keywords: integral constraints
zbMATH Keywords: non-convex sets of admissible controls
zbMATH Keywords: maximum principle
author: Uldis Raitums
reviewed by: Igor Bock
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/200
OpenAlex ID: W2561407326
description: scientific article; zbMATH DE number 3964826