Parabolic perturbations of Hamilton–Jacobi equations

Volume 157 / 1998

Ya. Sinai Fundamenta Mathematicae 157 (1998), 299-303 DOI: 10.4064/fm-157-2-3-299-303


We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.


  • Ya. Sinai

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