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

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.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Cauchy problems
Computational Mathematics and Numerical Analysis
Computational Science and Engineering
Euclidean geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
Partial Differential Equations
Probability Theory and Stochastic Processes
Statistical Theory and Methods
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Zusammenfassung: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.
ISSN:2194-0401
2194-041X
DOI:10.1007/s40072-021-00222-w