Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem
E. Casas
Universidad de Cantabria, Santander, SpainFredi Tröltzsch
Technische Universität Berlin, GermanyA. Unger
Technische Universität Chemnitz, Germany

Abstract
In this paper sufficient second order optimality conditions are established for opti-mal control problems governed by a linear elliptic equation with nonlinear boundary condition, where pointwise constraints on the control are given. The second order condition requires coercivity of the Lagrange function on a suitable subspace together with first order sufficient conditions on a certain set of strongly active points.
Cite this article
E. Casas, Fredi Tröltzsch, A. Unger, Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem. Z. Anal. Anwend. 15 (1996), no. 3, pp. 687–707
DOI 10.4171/ZAA/723