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Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations |
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| Authors: | E. Casas F. Tröltzsch |
| Affiliation: | (1) Departamento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, Av. Los Castros s/n, 39071 Santander, Spain , ES;(2) Fakultät für Mathematik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany , DE |
| 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. Accepted 6 May 1997 |
| Keywords: | . Boundary control Semilinear elliptic equations Optimality conditions State constraints. AMS Classification. 49K20 35J25. |
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