An impulsive control problem with state constraint
Annales de l'I.H.P. Analyse non linéaire, Tome S6 (1989), pp. 385-414. 
@article{AIHPC_1989__S6__385_0,
     author = {Lions, P. L. and Perthame, B.},
     title = {An impulsive control problem with state constraint},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {385--414},
     publisher = {Gauthier-Villars},
     volume = {S6},
     year = {1989},
     mrnumber = {1019123},
     zbl = {0698.49005},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPC_1989__S6__385_0/}
}
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Lions, P. L.; Perthame, B. An impulsive control problem with state constraint. Annales de l'I.H.P. Analyse non linéaire, Tome S6 (1989), pp. 385-414. http://archive.numdam.org/item/AIHPC_1989__S6__385_0/

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