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

Journal Article · Mon Mar 15 00:00:00 EST 1999 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S002459900104· OSTI ID:21067554

Casas, E ^[1]; Troeltzsch, F ^[2]

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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)

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.

• OSTI ID: 21067554
• Journal Information: Applied Mathematics and Optimization, Vol. 39, 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); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTROL THEORY
EQUATIONS
MATHEMATICAL SOLUTIONS
OPTIMAL CONTROL