A COMPARISON PRINCIPLE FOR HAMILTON-JACOBI EQUATIONS WITH DISCONTINUOUS HAMILTONIANS

被引：13

作者：

Giga, Yoshikazu ^{[1
]}

Gorka, Przemyslaw ^{[2
,3
]}

Rybka, Piotr ^{[4
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

[2] Univ Talca, Inst Matemat & Fis, Talca, Chile

[3] Warsaw Univ Technol, Dept Math & Informat Sci, PL-00661 Warsaw, Poland

[4] Warsaw Univ, Inst Appl Math & Mech, PL-07097 Warsaw, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 05期

基金：

日本学术振兴会;

关键词：

Hamilton-Jacobi equation; viscosity solutions; discontinuous Hamiltonian; VISCOSITY SOLUTIONS;

D O I：

10.1090/S0002-9939-2010-10630-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show a comparison principle for viscosity super- and subsolutions to Hamilton-Jacobi equations with discontinuous Hamiltonians. The key point is that the Hamiltonian depends upon u and has a special structure. The supersolution must enjoy some additional regularity.

引用

页码：1777 / 1785

页数：9

共 11 条

[1]

BARLES G, 1987, ESAIM-MATH MODEL NUM, V21, P557

[2] Time-dependent measurable Hamilton-Jacobi equations [J].