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.
Mots-clés : Space-time measure controls, optimal control, sparsity, parabolic equations, first order optimality conditions, numerical approximation
@article{COCV_2016__22_2_355_0,
author = {Casas, Eduardo and Kunisch, Karl},
title = {Parabolic control problems in space-time measure spaces},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {355--370},
publisher = {EDP-Sciences},
volume = {22},
number = {2},
year = {2016},
doi = {10.1051/cocv/2015008},
mrnumber = {3491774},
zbl = {1343.49036},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2015008/}
}
TY - JOUR AU - Casas, Eduardo AU - Kunisch, Karl TI - Parabolic control problems in space-time measure spaces JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2016 SP - 355 EP - 370 VL - 22 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2015008/ DO - 10.1051/cocv/2015008 LA - en ID - COCV_2016__22_2_355_0 ER -
%0 Journal Article %A Casas, Eduardo %A Kunisch, Karl %T Parabolic control problems in space-time measure spaces %J ESAIM: Control, Optimisation and Calculus of Variations %D 2016 %P 355-370 %V 22 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2015008/ %R 10.1051/cocv/2015008 %G en %F COCV_2016__22_2_355_0
Casas, Eduardo; Kunisch, Karl. Parabolic control problems in space-time measure spaces. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 2, pp. 355-370. doi : 10.1051/cocv/2015008. http://www.numdam.org/articles/10.1051/cocv/2015008/
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