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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… Click to show full 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:
solutions random;
convergence solutions;
exponential convergence;
jacobi equations;
jacobi;
random hamilton
Journal Title: Stochastics and Partial Differential Equations: Analysis and Computations
Year Published: 2019
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Journal Title: Stochastics and Partial Differential Equations: Analysis and Computations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!