Optimality conditions for semilinear parabolic equations with controls in leading term*
School of Mathematical Sciences, and LMNS, Fudan
University, Shanghai 200433, P.R. China. firstname.lastname@example.org
Revised: 18 February 2010
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.
Mathematics Subject Classification: 49K20 / 35B27
Key words: Optimal control / necessary conditions / parabolic equation / homogenized spike variation
© EDP Sciences, SMAI, 2010