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arxiv: 1703.10218 · v1 · pith:5KW2GHF7new · submitted 2017-03-29 · 🧮 math.DS · math.AP

Exponential convergence of solutions for random Hamilton-Jacobi equations

Renato Iturriaga , Konstantin Khanin , Ke Zhang This is my paper
classification 🧮 math.DS math.AP
keywords citeequationssolutionalmostcombinedcompletesconvergenceconverges
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We show that for a family of randomly kicked Hamiton-Jacobi equations on the torus, almost surely, the solution of an initial value problem converges exponentially fast to the unique stationary solution. Combined with the results in \cite{IK03} and \cite{KZ12}, this completes the program started in \cite{EKMS00} for the multi-dimensional setting.

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