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Parabolic perturbations of Hamilton–Jacobi equations

100%

Sinai Y. G.

Fundamenta Mathematicae

1998

tom 157

nr 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.

A remark concerning random walks with random potentials

100%

Sinai Y. G.

Fundamenta Mathematicae

1995

tom 147

nr 2

173-180

We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Sinai Y. G.

1 1998

1 1995

Wyniki wyszukiwania

Parabolic perturbations of Hamilton–Jacobi equations

A remark concerning random walks with random potentials