On the asimptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients

R. Z. Khasminskii; N. V. Krylov

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arXiv · 2107.05096

On the asimptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients

R. Z. Khasminskii·N. V. Krylov

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Abstract

We are considering the asimptotic behavior as $t\to\infty$ of solutions of the Cauchy problem for parabolic second order equations with time periodic coefficients. The problem is reduced to considering degenerate time-homogeneous diffusion processes on the product of a unit circle and Euclidean space.

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R. Z. Khasminskii, N. V. Krylov. 2021-07-11. On the asimptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients. https://arxiv.org/abs/2107.05096

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