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

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 visco...

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Detalhes bibliográficos
Autores: Jaramillo Aguado, Jesús Ángel, Jiménez Sevilla, María Del Mar, Rodenas Pedregosa, J.L., Sánchez González, L.
Tipo de documento: artigo
Data de publicação:2015
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/33777
Acesso em linha:https://hdl.handle.net/20.500.14352/33777
Access Level:Acceso aberto
Palavra-chave:517.98
Finsler manifolds
Variational principles
Nonsmooth analysis
Viscosity solutions
Hamilton-Jacobi equations
Geometry of Banach spaces.
Análisis funcional y teoría de operadores
Descrição
Resumo: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.