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arxiv: 1602.00530 · v1 · pith:HDXYHO3Wnew · submitted 2016-02-01 · 🧮 math.AP

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

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keywords metricbehaviorgeneralhamilton-jacobilargesolutionstabilitytime
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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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