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

共 50 条

[21] HOMOGENIZATION OF THE CAUCHY PROBLEM FOR PARABOLIC SYSTEMS WITH PERIODIC COEFFICIENTS
Meshkova, Yu. M.
ST PETERSBURG MATHEMATICAL JOURNAL, 2014, 25 (06) : 981 - 1019
[22] Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients
Bingchen Liu
He Xia
Bulletin of the Iranian Mathematical Society, 2022, 48 : 1051 - 1074
[23] Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients
Liu, Bingchen
Xia, He
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (03) : 1051 - 1074
[24] THE ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF THE CAUCHY-PROBLEM FOR PARABOLIC EQUATIONS WITH ONE SMALL PARAMETER AND WITH DISCONTINUOUS INITIAL CONDITIONS FOR LARGE TIME
SKVORTSOV, MY
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1981, (05): : 42 - 47
[25] On stabilization of solutions of the Cauchy problem for parabolic equations
Denisov, VN
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (01) : 123 - 127
[26] UNIQUENESS OF SOLUTIONS OF CAUCHY PROBLEM FOR PARABOLIC EQUATIONS
ARONSON, DG
BESALA, P
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 13 (03) : 516 - &
[27] Asymptotic Properties of Solutions to the Cauchy Problem for Degenerate Parabolic Equations with Inhomogeneous Density on Manifolds
Andreucci, Daniele
Tedeev, Anatoli F.
MILAN JOURNAL OF MATHEMATICS, 2021, 89 (2) : 295 - 327
[28] Asymptotic Properties of Solutions to the Cauchy Problem for Degenerate Parabolic Equations with Inhomogeneous Density on Manifolds
Daniele Andreucci
Anatoli F. Tedeev
Milan Journal of Mathematics, 2021, 89 : 295 - 327
[29] THE ASYMPTOTIC INTERRELATION OF THE CAUCHY-PROBLEM SOLUTIONS CORRESPONDING TO PARABOLIC AND TELEGRAPH TYPE EQUATIONS
IANUSHANETS, I
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1995, 46 (03): : 445 - 458
[30] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF PARABOLIC EQUATIONS
FRIEDMAN, A
JOURNAL OF MATHEMATICS AND MECHANICS, 1959, 8 (03): : 387 - 392

← 1 2 3 4 5 →