Optimality conditions for semilinear parabolic equations with controls in leading term
Hongwei Lou · ESAIM Control Optimisation and Calculus of Variations · 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.