Viability and invariance for differential games with applications to Hamilton-Jacobi-Isaacs equations

• Autorzy: Pierre Cardaliaguet , Sławomir Plaskacz
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 35
• Numer: 1
• Strony: 149-158

Daty

wydano

1996

Twórcy

autor

Pierre Cardaliaguet

• CEREMADE, Université Paris-Dauphine, 75775 Paris Cedex 16, France

autor

Sławomir Plaskacz

• Department of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Bibliografia

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• [3] J.-P. Aubin and H. Frankowska, Set-Valued Analysis, Birkhäuser, Boston, Basel, Berlin (1990).
• [4] P. Cardaliaguet, Domaines discriminant en jeux différentiels, Ph.D. Thesis, Université Paris Dauphine (1992).
• [5] M. G. Crandall, L. C. Evans and P. L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282, 487-502.
• [6] M. G. Crandall and P. L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42.
• [7] R. J. Elliott and N. J. Kalton, The existence of value in differential games, Mem. Amer. Math. Soc. 126 (1972).
• [8] L. C. Evans and P. E. Souganidis, Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations, Indiana Univ. Math. J. 33 (1984), 773-797.
• [9] H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations, SIAM J. Control And Optimization 31 (1993), 257-272.
• [10] H. Frankowska and S. Plaskacz, A measurable - upper semicontinuous viability theorem for tubes, Nonlinear Analysis TMA. (to appear).
• [11] H. Frankowska, S. Plaskacz and T. Rzeżuchowski, Théorèmes de viabilité mesurables et l'équation d'Hamilton-Jacobi-Bellman, Comptes-Rendus de l'Académie des Sciences, Paris, Série 1 (1992).
• [12] H. Frankowska, S. Plaskacz and T. Rzeżuchowski, Measurable viability theorems and Hamilton-Jacobi-Bellman equation, J. Diff. Eqs. 116 (1995), 265-305.
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