COMPARISON PRINCIPLE FOR DIRICHLET-TYPE HAMILTON-JACOBI EQUATIONS AND SINGULAR PERTURBATIONS OF DEGENERATED ELLIPTIC-EQUATIONS

被引：56

作者：

BARLES, G ^{[1
]}

PERTHAME, B ^{[1
]}

机构：

[1] ECOLE NORM SUPER,CMA,F-75230 PARIS 05,FRANCE

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1990年 / 21卷 / 01期

关键词：

D O I：

10.1007/BF01445155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under a nondegeneracy condition on the boundary, we prove a comparison principle for discontinuous viscosity sub- and supersolutions of the generalized Dirichlet boundary-value problem for a first-order Hamilton-Jacobi equation {Mathematical expression} For optimal control problems, we interpret this nondegeneracy as a condition on the controlled vector fields. Finally, we use this to extend classical singular perturbation results to degenerated elliptic equations. © 1990 Springer-Verlag New York Inc.

引用

页码：21 / 44

页数：24

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