Jeux différentiels et approximation numérique de fonctions valeur. 1re partie : étude théorique
Alziary de Roquefort, B.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 25 (1991), p. 517-533 / Harvested from Numdam
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@article{M2AN_1991__25_5_517_0,
     author = {Alziary de Roquefort, B.},
     title = {Jeux diff\'erentiels et approximation num\'erique de fonctions valeur. 1re partie : \'etude th\'eorique},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {25},
     year = {1991},
     pages = {517-533},
     mrnumber = {1111653},
     zbl = {0734.90131},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/M2AN_1991__25_5_517_0}
}

Alziary de Roquefort, B. Jeux différentiels et approximation numérique de fonctions valeur. 1re partie : étude théorique. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 25 (1991) pp. 517-533. http://gdmltest.u-ga.fr/item/M2AN_1991__25_5_517_0/

[1] M. Bardi & P. Soravia, A P.D.E. framework for games of pursuit evasion type, to appear in differential games and application pp. 62-71. | MR 1230190 | Zbl 0675.90110 | Zbl 0679.90109

[2] P. Bernhard, Differential Games : Isaacs' equation, Encyclopedia of Systems and control, Editor : Madan Singh, Pergamon Press, 1987.

[3] J. V. Breakwell, Computed complete solutions to the game : lion and man, in Differential Games and Application, T. S. Bazar and P. Bernhard, Lecture Notes in Control and Inform. Sci. 119, Springer Verlag, 1989.

[4] I. Capuzzo-Dolcetta & P.-L. Lions, Hamilton-Jacobi equation and state constraints problem, IMA Preprint Ser. 342, Minneapolis, September 1987. | MR 951880

[5] R. J. Elliott & N. J. Kalton, Cauchy problems for certain Isaacs-Bellman equations and games of survival, Amer. Math. Soc. 198, 1974. | MR 347383 | Zbl 0302.90074

[6] L. C. Evans & P. E. Souganidis, Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations, Indiana, 33, n° 5, 1984. | MR 756158 | Zbl 1169.91317

[7] M. G. Crandall & P.-L. Lions, Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations, Illinois J. Math. 31, n° 4, winter 1987. | MR 909790 | Zbl 0678.35009

[8] M. G. Crandall, L. C. Evans & P.-L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282, April 1984. | MR 732102 | Zbl 0543.35011

[9] M. H. Soner, Optimal control with state-space constraint, I. SIAM J. Control Optim. 24, n° 3, 1986. | MR 838056 | Zbl 0597.49023