Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations
Journal Article
·
· Applied Mathematics and Optimization
- 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)
- 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
Similar Records
Second-Order Analysis for Control Constrained Optimal Control Problems of Semilinear Elliptic Systems
Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions
First and Second Order Necessary Conditions for Stochastic Optimal Control Problems
Journal Article
·
Sun Nov 15 00:00:00 EST 1998
· Applied Mathematics and Optimization
·
OSTI ID:21067554
Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions
Journal Article
·
Tue Jun 15 00:00:00 EDT 2010
· Applied Mathematics and Optimization
·
OSTI ID:21067554
First and Second Order Necessary Conditions for Stochastic Optimal Control Problems
Journal Article
·
Fri Jun 15 00:00:00 EDT 2012
· Applied Mathematics and Optimization
·
OSTI ID:21067554