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

作者：Jaramillo J A; Jimenez Sevilla M^*; Rodenas Pedregosa J L; Sanchez Gonzalez L

来源：Nonlinear Analysis-Theory Methods & Applications, 2015, 113: 159-179.

DOI：10.1016/j.na.2014.09.031

• Finsler manifolds
• Variational principles
• Nonsmooth analysis
• Viscosity solutions
• Hamilton-Jacobi equations
• Geometry of Banach spaces

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.

• 出版日期2015-1