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



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Jaramillo Aguado, Jesús Ángel and Jiménez Sevilla, María del Mar and Rodenas Pedregosa, J.L. and Sánchez González, L. (2015) A class of Hamilton-Jacobi equations on Banach-Finsler manifolds. Nonlinear Analysis: Theory, Methods & Applications, 113 . pp. 159-179. ISSN 0362-546X


Official URL: http://www.sciencedirect.com/science/article/pii/S0362546X14003216


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.

Item Type:Article
Uncontrolled Keywords:Finsler manifolds; Variational principles; Nonsmooth analysis; Viscosity solutions; Hamilton-Jacobi equations; Geometry of Banach spaces.
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:28338
Deposited On:12 Feb 2015 13:40
Last Modified:01 Feb 2016 16:09

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