Summary: Journal of Functional Analysis 220 (2005) 304­361
www.elsevier.com/locate/jfa
Nonsmooth analysis and Hamilton­Jacobi
equations on Riemannian manifolds
Daniel Azagra
, Juan Ferrera, Fernando López-Mesas
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, 28040
Madrid, Spain
Received 14 November 2003; accepted 4 October 2004
Communicated by G. Pisier
Available online 8 December 2004
Abstract
We establish some perturbed minimization principles, and we develop a theory of subdiffer-
ential calculus, for functions defined on Riemannian manifolds. Then we apply these results to
show existence and uniqueness of viscosity solutions to Hamilton­Jacobi equations defined on
Riemannian manifolds.
© 2004 Elsevier Inc. All rights reserved.
MSC: 49J52; 58E30
Keywords: Subdifferential; Riemannian manifolds
1. Introduction

Source: Azagra Rueda, Daniel - Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid

Collections: Mathematics