Stability properties and large time behavior of viscosity solutions of Hamilton-Jacobi equations on metric spaces

Published 1 Feb 2016 in math.AP | (1602.00530v1)

Abstract: We investigate asymptotic behaviors of a metric viscosity solution of a Hamilton-Jacobi equation defined on a general metric space in Gangbo-\'{S}wi\c{e}ch sense. Our results include general stability and large time behavior of the solution.

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