Stability results for Hamilton-Jacobi equations with integro-differential terms and discontinuous Hamiltonians

被引:7
作者
Bensaoud, I [1 ]
Sayah, A [1 ]
机构
[1] Univ Mohammed 5, Fac Sci, Dept Math & Informat, Rabat, Morocco
关键词
D O I
10.1007/PL00012462
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove a stability result for Hamilton-Jacobi equations with an integro-differential term for discontinuous Hamiltonians. This type of equations arises in various problems concerning, for example, the control of diffusion processes with jumps. the theory of large deviations for processes with jumps, and the theory of piece-wise deterministic processes.
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收藏
页码:392 / 395
页数:4
相关论文
共 9 条
[1]  
[Anonymous], 1985, B FACUL SCI ENG CHUO
[2]  
BARLES G, 1987, ESAIM-MATH MODEL NUM, V21, P557
[3]  
Barles G., 1997, STOCHASTICS STOCHAST, V60, P57
[4]   SOME PROPERTIES OF VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS [J].
CRANDALL, MG ;
EVANS, LC ;
LIONS, PL .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (02) :487-502
[5]   VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS [J].
CRANDALL, MG ;
LIONS, PL .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 277 (01) :1-42
[6]  
Dermoune A., 1999, Stoch. Stoch. Rep, V66, P103, DOI [10.1080/17442509908834188, DOI 10.1080/17442509908834188]
[9]  
SAYAH A, 1991, COMMUN PART DIFF EQ, V16, P1057