Hamilton-Jacobi equations and distance functions on Riemannian manifolds

被引：142

作者：

Mantegazza, C ^{[1
]}

Mennucci, AC ^{[1
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2003年 / 47卷 / 01期

关键词：

geodesic; cut locus; Hamilton-Jacobi equation; viscosity solution; semiconcavity;

D O I：

10.1007/s00245-002-0736-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is concerned with the properties of the distance function from a closed subset of a Riemannian manifold, with particular attention to the set of singularities.

引用

页码：1 / 25

页数：25

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