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

[41] STABILIZATION OF SOLUTIONS OF CAUCHY-PROBLEM FOR PARABOLIC EQUATIONS
KAMIN, S
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1976, 76 : 43 - 53
[42] The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations
Denisov V.N.
Journal of Mathematical Sciences, 2018, 232 (3) : 338 - 348
[43] ON ANALYTIC - SOLUTIONS TO THE CAUCHY-PROBLEM FOR PARABOLIC EQUATIONS
KOROBEINIK, YF
DIFFERENTIAL EQUATIONS, 1994, 30 (10) : 1640 - 1646
[44] Asymptotic behaviour of solutions of an impulsive semilinear parabolic Cauchy problem
Nakagawa, K
PROCEEDINGS OF THE EIGHTH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL EQUATIONS, 1998, : 335 - 340
[45] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS
REYNOLDS, A
JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (02) : 256 - &
[46] Asymptotic behavior of zeros of solutions for parabolic equations
Mizoguchi, N
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 170 (01) : 51 - 67
[47] ON THE ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF PARABOLIC EQUATIONS
KAHANE, CS
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1983, 33 (02) : 262 - 285
[48] The Cauchy problem for a class of parabolic equations in weighted variable Sobolev spaces: Existence and asymptotic behavior
Alves, Claudianor O.
Shmarev, Sergey
Simsen, Jacson
Simsen, Mariza S.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 443 (01) : 265 - 294
[49] ON ASYMPTOTIC-BEHAVIOR OF A SOLUTION TO THE CAUCHY-PROBLEM FOR QUASI-LINEAR PARABOLIC EQUATIONS
KAMYNIN, VL
SIBERIAN MATHEMATICAL JOURNAL, 1992, 33 (06) : 987 - 998
[50] ASYMPTOTIC-BEHAVIOR OF FOURIER COEFFICIENTS IN SOLUTIONS OF QUASILINEAR PARABOLIC EQUATIONS AT LARGE T
BELOUSOV, LA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1980, (01): : 56 - 60

← 1 2 3 4 5 →