Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

被引：120

作者：

Azagra, D ^{[1
]}

Ferrera, J ^{[1
]}

López-Mesas, F ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Analisis Matemat, E-28040 Madrid, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 220卷 / 02期

关键词：

subdifferential; Riemannian manifolds;

D O I：

10.1016/j.jfa.2004.10.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results to show existence and uniqueness of viscosity solutions to Hamilton-Jacobi equations defined on Riemannian manifolds. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：304 / 361

页数：58

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