Second order optimality conditions for optimal control of quasilinear parabolic equations
Second order optimality conditions for optimal control of quasilinear parabolic equations
We discuss an optimal control problem governed by a quasilinear parabolic PDE including mixed boundary conditions and Neumann boundary control, as well as distributed control. Second order necessary and sufficient optimality conditions are derived. The latter leads to a quadratic growth condition without two-norm discrepancy.Furthermore, maximal parabolic regularity of the …