Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem
E. CasasUniversidad de Cantabria, Santander, Spain
Fredi TröltzschTechnische Universität Berlin, Germany
A. UngerTechnische Universität Chemnitz, Germany
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. 687–707DOI 10.4171/ZAA/723