skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1];  [2]
  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)
Publication Date:
OSTI Identifier:
21067554
Resource Type:
Journal Article
Journal Name:
Applied Mathematics and Optimization
Additional Journal Information:
Journal Volume: 39; Journal Issue: 2; Other Information: DOI: 10.1007/s002459900104; Copyright (c) 1999 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 1999 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0095-4616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONTROL THEORY; EQUATIONS; MATHEMATICAL SOLUTIONS; OPTIMAL CONTROL

Citation Formats

Casas, E, and Troeltzsch, F. Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations. United States: N. p., 1999. Web. doi:10.1007/S002459900104.
Casas, E, & Troeltzsch, F. Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations. United States. https://doi.org/10.1007/S002459900104
Casas, E, and Troeltzsch, F. 1999. "Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations". United States. https://doi.org/10.1007/S002459900104.
@article{osti_21067554,
title = {Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations},
author = {Casas, E and Troeltzsch, F},
abstractNote = {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.},
doi = {10.1007/S002459900104},
url = {https://www.osti.gov/biblio/21067554}, journal = {Applied Mathematics and Optimization},
issn = {0095-4616},
number = 2,
volume = 39,
place = {United States},
year = {Mon Mar 15 00:00:00 EST 1999},
month = {Mon Mar 15 00:00:00 EST 1999}
}