Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations
type: Item
instance of: scholarly article
title: Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations
zbMATH Open document ID: 0817.49025
published in: Differential and Integral Equations
publication date: 1995-07-18T00:00:00Z
review text: The authors consider an optimal control problem governed by a quasilinear operator of elliptic type. They derive an optimality system of Pontryagin's type. The result is important in several aspects: there is no stability condition (except of course for the qualified version of the result), the operator is quite general, and the proof combines ideas of renormalization, a general lemma about approximation with functions of ``small'' support, and Ekeland's principle.
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 716203
zbMATH Keywords: Pontryagin's principle
zbMATH Keywords: quasilinear elliptic equations
zbMATH Keywords: optimality system
zbMATH Keywords: stability
zbMATH Keywords: Ekeland's principle
author: Eduardo Casas
author: Jiongmin Yong
reviewed by: J. Frédéric Bonnans
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 716203