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The research on a class of asymptotic exit-time problems with a vanishing Lagrangian, begun in [M. Motta and C. Sartori, Nonlinear Differ. Equ. Appl. Springer (2014).] for the compact control case, is extended here to the case of unbounded controls and data, including both coercive and non-coercive problems. We give sufficient conditions to have a well-posed notion of generalized control problem and obtain regularity, characterization and approximation results for the value function of the problem.
@article{COCV_2014__20_4_957_0,
author = {Motta, M. and Sartori, C.},
title = {On asymptotic exit-time control problems lacking coercivity},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {957--982},
publisher = {EDP-Sciences},
volume = {20},
number = {4},
year = {2014},
doi = {10.1051/cocv/2014003},
mrnumber = {3264230},
zbl = {1301.49006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2014003/}
}
TY - JOUR AU - Motta, M. AU - Sartori, C. TI - On asymptotic exit-time control problems lacking coercivity JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2014 SP - 957 EP - 982 VL - 20 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2014003/ DO - 10.1051/cocv/2014003 LA - en ID - COCV_2014__20_4_957_0 ER -
%0 Journal Article %A Motta, M. %A Sartori, C. %T On asymptotic exit-time control problems lacking coercivity %J ESAIM: Control, Optimisation and Calculus of Variations %D 2014 %P 957-982 %V 20 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2014003/ %R 10.1051/cocv/2014003 %G en %F COCV_2014__20_4_957_0
Motta, M.; Sartori, C. On asymptotic exit-time control problems lacking coercivity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 4, pp. 957-982. doi: 10.1051/cocv/2014003
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