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

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We are considering the asimptotic behavior as t → ∞ of solutions of the Cauchy problem for parabolic second order equations with time periodic coefficients. The problem is reduced to… Click to show full abstract

We are considering the asimptotic behavior as t → ∞ 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.

Keywords: problem parabolic; cauchy problem; time; behavior solutions; solutions cauchy; problem

Journal Title: Stochastics and Partial Differential Equations: Analysis and Computations
Year Published: 2021

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