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

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

doi:10.1016/j.na.2014.09.031

arXiv 2014-07-10 DOI 10.1016/j.na.2014.09.031 0 مشاهدة

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

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

Functional Analysis Analysis of PDEs Differential Geometry 58B10, 58B20, 46T05, 46T20, 46B20, 35R01

الأصل · EN

The concept of subdifferentiability is studied in the context of C¹ Finsler manifolds (modeled on a Banach space with a Lipschitz C¹ bump function). A class of Hamilton-Jacobi equations defined on C¹ Finsler manifolds is studied and several results related to the existence and uniqueness of viscosity solutions are obtained.

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