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

We are considering the asymptotic 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.

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Veröffentlicht in:Stochastic partial differential equations : analysis and computations 2023-03, Vol.11 (1), p.106-121
Hauptverfasser: Khasminskii, R. Z., Krylov, N. V.
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Sprache:eng
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