A class of Hamilton–Jacobi equations on Banach–Finsler manifolds. (January 2015)

• Record Type: Journal Article
• Authors: Jaramillo, J.A.; Jiménez-Sevilla, M.; Ródenas-Pedregosa, J.L.; Sánchez-González, L.
• Is Part Of: Nonlinear analysis. Volume 113(2015)
• Page Start: 159
• Page End: 179
• Publication Date: 2015-01
• Subjects: 58B10 -- 58B20 -- 46T05 -- 46T20 -- 46B20 -- 35R01; Finsler manifolds -- Variational principles -- Nonsmooth analysis -- Viscosity solutions -- Hamilton–Jacobi equations -- Geometry of Banach spaces; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.09.031
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The concept of subdifferentiability is studied in the context of C 1 Finsler manifolds (modeled on a Banach space with a Lipschitz C 1 bump function). A class of Hamilton–Jacobi equations defined on C 1 Finsler manifolds is studied and several results related to the existence and uniqueness of viscosity solutions are obtained.