Free access article

ESAIM: Proc., 1998, Vol. 4, pp. 285-300
DOI: 10.1051/proc:1998034

Second order sufficient optimality conditions for a class of elliptic control problems

E. Casas¹, F. Tröltzsch² and A. Unger<sup>2

1</sup>  Departamento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, 39071 Santander, Spain
²  Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, D-09107 Chemnitz, Germany

Abstract
In this paper we deal with a class of optimal control problems governed by elliptic equations with nonlinear boundary condition. The case of a boundary control is studied. We consider pointwise constraints on the control and certain equality and inequality constraints on the state. Second order sufficient conditions for local optimality of controls are derived.

© EDP Sciences, ESAIM 1998

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