Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions
WIAS - Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany; email@example.com
Revised: 2 May 2006
We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. After stating first-order necessary conditions, second-order sufficient conditions are derived that account for strongly active sets. These conditions ensure local optimality in an Ls-neighborhood of a reference function whereby the underlying analysis allows to use weaker norms than .
Mathematics Subject Classification: 49K20 / 35J65 / 80M50
Key words: Optimal control / semilinear elliptic equations / nonlocal interface conditions / second-order sufficient optimality conditions
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