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Optimality conditions for semilinear parabolic equations withcontrols in leading term*

Published online by Cambridge University Press:  23 August 2010

Hongwei Lou
Hongwei Lou*
Affiliation:
School of Mathematical Sciences, and LMNS, Fudan University, Shanghai 200433, P.R. China. hwlou@fudan.edu.cn
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Abstract

An optimal control problem for semilinear parabolic partial differential equations is considered. The control variable appears in the leading term of the equation. Necessary conditions for optimal controls are established by the method of homogenizing spike variation. Results for problems with state constraints are also stated.

Keywords

Optimal controlnecessary conditionsparabolic equationhomogenized spike variation
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 17 , Issue 4 , October 2011 , pp. 975 - 994
Copyright
© EDP Sciences, SMAI, 2010

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