Parabolic control problems in space-time measure spaces
Eduardo Casas, Karl K. Kunisch · ESAIM Control Optimisation and Calculus of Variations · 2015
Optimal control problems in measure spaces governed by parabolic equations with are considered. The controls appear as spatial measure in the initial condition and as space-time measures as forcing functions. First order optimality conditions are derived and certain structural properties, in particular sparsity, are discussed. An framework for approximation if these highly irregular problems is also proposed.