Almost classical solutions of Hamilton-Jacobi equations

被引：0

作者：

Deville, Robert ^{[1
]}

Jaramillo, Jesus A. ^{[2
]}

机构：

[1] Univ Bordeaux 1, Math Lab, F-33405 Talence, France

[2] Univ Complutense Madrid, Dept Anal Matemat, E-28040 Madrid, Spain

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2008年 / 24卷 / 03期

关键词：

Hamilton-Jacobi equations; eikonal equation on manifolds; almost everywhere solutions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of everywhere differentiable functions which are almost everywhere solutions of quite general Hamilton-Jacobi equations on open subsets of R(d) or on d-dimensional manifolds whenever d >= 2. In particular, when M is a Riemannian manifold, we prove the existence of a differentiable function a on M which satisfies the Eikonal equation parallel to del u(x)parallel to(x) = 1 almost everywhere on M.

引用

页码：989 / 1010

页数：22

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