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arXiv:1703.10218 [math.DS]AbstractReferencesReviewsResources

Exponential convergence of solutions for random Hamilton-Jacobi equations

Renato Iturriaga, Konstantin Khanin, Ke Zhang

Published 2017-03-29Version 1

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.

Comments: 28 pages
Categories: math.DS
Subjects: 35R60, 37J50, 37H99, 37L55, 37D25, 76F20
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