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

被引：0

作者：

Khasminskii, R. Z. ^{[1
,2
]}

Krylov, N., V ^{[3
]}

机构：

[1] Wayne State Univ, Detroit, MI USA

[2] Inst Informat Transmiss Problems, Moscow, Russia

[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS | 2023年 / 11卷 / 01期

关键词：

Cauchy problem; Invariant measure; Time periodic coefficients; Diffusion processes;

D O I：

10.1007/s40072-021-00222-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are considering the asymptotic behavior as t -> infinity 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.

引用

页码：106 / 121

页数：16

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