@article{10902/8378, year = {2016}, url = {http://hdl.handle.net/10902/8378}, abstract = {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.}, organization = {The first author was supported by Spanish Ministerio de Economía y Competitividad under project MTM2011-22711. The second was supported by the Austrian Science Fund (FWF) under Grant SFB F32 (SFB “Mathematical Optimization and Applications in Biomedical Sciences”).}, publisher = {EDP Sciences}, publisher = {ESAIM: Control, Optimisation and Calculus of Variations, 2016, 22(2), 355–370}, title = {Parabolic control problems in space-time measure spaces}, author = {Casas Rentería, Eduardo and Kunisch, Karl}, }