Jeux différentiels et approximation numérique de fonctions valeur. 1re partie : étude théorique

B. Alziary de Roquefort

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 5, page 517-533
  • ISSN: 0764-583X

How to cite

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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 25.5 (1991): 517-533. <http://eudml.org/doc/193638>.

@article{AlziarydeRoquefort1991,
author = {Alziary de Roquefort, B.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {antagonistic pursuit-evasion game on the plane; unique viscosity solutions; Isaacs equations},
language = {fre},
number = {5},
pages = {517-533},
publisher = {Dunod},
title = {Jeux différentiels et approximation numérique de fonctions valeur. 1re partie : étude théorique},
url = {http://eudml.org/doc/193638},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Alziary de Roquefort, B.
TI - Jeux différentiels et approximation numérique de fonctions valeur. 1re partie : étude théorique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 5
SP - 517
EP - 533
LA - fre
KW - antagonistic pursuit-evasion game on the plane; unique viscosity solutions; Isaacs equations
UR - http://eudml.org/doc/193638
ER -

References

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  1. [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. Zbl0679.90109MR1230190
  2. [2] P. BERNHARD, Differential Games : Isaacs' equation, Encyclopedia of Systems and control, Editor : Madan Singh, Pergamon Press, 1987. 
  3. [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. [4] I. CAPUZZO-DOLCETTA & P.-L. LIONS, Hamilton-Jacobi equation and state constraints problem, IMA Preprint Ser. 342, Minneapolis, September 1987. MR951880
  5. [5] R. J. ELLIOTT & N. J. KALTON, Cauchy problems for certain Isaacs-Bellman equations and games of survival, Amer. Math. Soc. 198, 1974. Zbl0302.90074MR347383
  6. [6] L. C. EVANS & P. E. SOUGANIDIS, Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations, Indiana, 33, n° 5, 1984. Zbl1169.91317MR756158
  7. [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. Zbl0678.35009MR909790
  8. [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. Zbl0543.35011MR732102
  9. [9] M. H. SONER, Optimal control with state-space constraint, I. SIAM J. Control Optim. 24, n° 3, 1986. Zbl0597.49023MR838056

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