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arXiv · 1407.2977

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

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

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J. A. Jaramillo, M. Jimenez-Sevilla, J. L. Rodenas-Pedregosa, L. Sanchez-Gonzalez. 2014-12-02. A class of Hamilton-Jacobi equations on Banach-Finsler manifolds. https://doi.org/10.1016/j.na.2014.09.031

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