On viscosity solutions of irregular Hamilton-Jacobi equations

被引：6

作者：

Strömberg, T ^{[1
]}

机构：

[1] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden

来源：

ARCHIV DER MATHEMATIK | 2003年 / 81卷 / 06期

关键词：

D O I：

10.1007/s00013-003-0573-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the initial-value problem for u(t) + H(x, delu) = 0 admits a unique continuous viscosity solution under certain conditions which do not exclude that H(x, p) is discontinuous in x. Particular attention is devoted to the linear transport equation u(t) + a(x) . delu = 0, where a may be discontinuous.

引用

页码：678 / 688

页数：11

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