A class of Hamilton-Jacobi equations on Banach-Finsler manifolds

J. A. Jaramillo; M. Jimenez-Sevilla; J. L. Rodenas-Pedregosa; L. Sanchez-Gonzalez

doi:10.1016/j.na.2014.09.031

paper

A class of Hamilton-Jacobi equations on Banach-Finsler manifolds

arXiv:1407.2977 · doi:10.1016/j.na.2014.09.031

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.

24 pages