Parabolic control problems in measure spaces with sparse solutions. (English) Zbl 1266.49037

Casas, Eduardo; Clason, Christian; Kunisch, Karl

SIAM J. Control Optim. 51, No. 1, 28-63 (2013).

MSC:

49K20	Optimality conditions for problems involving partial differential equations
49K40	Sensitivity, stability, well-posedness
49M25	Discrete approximations in optimal control
35K10	Second-order parabolic equations
65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

measure controls; optimal control; sparsity; parabolic partial differential equations; well-posedness; convergence estimates