PERIODIC HOMOGENIZATION OF CERTAIN FULLY NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS

被引：227

作者：

EVANS, LC

机构：

[1] Department of Mathematics, University of California, Berkeley

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1992年 / 120卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0308210500032121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We demonstrate how a fairly simple "perturbed test function" method establishes periodic homogenisation for certain Hamilton-Jacobi and fully nonlinear elliptic partial differential equations. The idea, following Lions, Papanicolaou and Varadhan, is to introduce (possibly nonsmooth) correctors, and to modify appropriately the theory of viscosity solutions, so as to eliminate then the effects of high-frequency oscillations in the coefficients.

引用

页码：245 / 265

页数：21

共 19 条

[1] EXIT TIME PROBLEMS IN OPTIMAL-CONTROL AND VANISHING VISCOSITY METHOD [J].