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Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions
Published online by Cambridge University Press: 20 July 2007
Abstract
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 $L^\infty$.
Keywords
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 4 , October 2007 , pp. 750 - 775
- Copyright
- © EDP Sciences, SMAI, 2007
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