Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints
type: Item
instance of: scholarly article
title: Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints
zbMATH Open document ID: 0784.35037
published in: Differential and Integral Equations
publication date: 1993-01-16T00:00:00Z
review text: In this remarkable paper a general optimal control problem is considered with various kinds of state constraints and differential inclusions as side conditions. The author uses successfully Ekeland's variational principle and Green's functions (for the linear elliptic part of the variational inequality) together with the spike variation technique for elliptic equations and gives full proofs and a lot of limits concerning other papers of this topic.
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35B37
zbMATH DE Number: 94955
zbMATH Keywords: Pontryagin maximum principle
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: differential inclusions
zbMATH Keywords: spike variation technique
author: Jiongmin Yong
reviewed by: Alfred Göpfert
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 94955