Random homogenization of coercive Hamilton-Jacobi equations in 1d

被引：21
|
作者：
Gao, Hongwei [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 55卷 / 02期
关键词：
STOCHASTIC HOMOGENIZATION;
D O I：
10.1007/s00526-016-0968-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the random homogenization of general coercive non-convex Hamilton-Jacobi equations in the one dimensional case. This extends the result of Armstrong, Tran and Yu when the Hamiltonian has a separable form H(p, x, omega) = H(p)+ V(x, omega) for any coercive H(p).
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页数：39
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