Some Inverse Problems in Periodic Homogenization of Hamilton-Jacobi Equations

被引：13
|
作者：
Luo, Songting [1 ]
Tran, Hung V. [2 ]
Yu, Yifeng [3 ]
机构：
[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA
[2] Univ Wisconsin, Dept Math, Van Vleck Hall,480 Lincoln Dr, Madison, WI 53706 USA
[3] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2016年 / 221卷 / 03期
基金：
美国国家科学基金会;
关键词：
DYNAMICS;
D O I：
10.1007/s00205-016-0993-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We look at the effective Hamiltonian associated with the Hamiltonian in the periodic homogenization theory. Our central goal is to understand the relation between and . We formulate some inverse problems concerning this relation. Such types of inverse problems are, in general, very challenging. In this paper, we discuss several special cases in both convex and nonconvex settings.
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页码：1585 / 1617
页数：33
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