Published March 1999 | Version v1
Journal article

Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations

  • 1. Departamento de Matematica Aplicada y Ciencias de la Computacion, E.T.S.I. Industriales y de Telecomunicacion, Universidad de Cantabria, Av. Los Castros s/n, 39071 Santander (Spain)
  • 2. Fakultaet fuer Mathematik, Technische Universitaet Chemnitz, D-09107 Chemnitz (Germany)

Description

In this paper we are concerned with some optimal control problems governed by semilinear elliptic equations. The case of a boundary control is studied. We consider pointwise constraints on the control and a finite number of equality and inequality constraints on the state. The goal is to derive first- and second-order optimality conditions satisfied by locally optimal solutions of the problem

Additional details

Identifiers

Publishing Information

Journal Title
Applied Mathematics and Optimization
Journal Volume
39
Journal Issue
2
Journal Page Range
p. 211-227
ISSN
0095-4616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39081623
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONTROL THEORY; EQUATIONS; MATHEMATICAL SOLUTIONS; OPTIMAL CONTROL
Descriptors DEC
CONTROL

Optional Information

Copyright
Copyright (c) Inc. 1999 Springer-Verlag New York