Exponential convergence of solutions for random Hamilton-Jacobi equations
Dynamical Systems
2017-04-03 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.1703.10218,
title = {Exponential convergence of solutions for random Hamilton-Jacobi equations},
author = {Renato Iturriaga and Konstantin Khanin and Ke Zhang},
journal= {arXiv preprint arXiv:1703.10218},
year = {2017}
}
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28 pages