Stabilization of the solution of the Cauchy problem for a parabolic equation in Nondivergence form with growing lower coefficients

被引：1

作者：

Denisov, V. N. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

Cauchy Problem; Maximum Principle; Parabolic Equation; Asymptotic Formula; Initial Function;

D O I：

10.1134/S0012266113050054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study sharp sufficient conditions on the growing lower coefficients of a parabolic equation guaranteeing the stabilization of the solution of the Cauchy problem to zero in some classes of growing initial functions.

引用

页码：569 / 582

页数：14

共 50 条

[31] Solvability of the Cauchy Problem for a Parabolic Equation with Unbounded Coefficients
Cherepova M.F.
[J]. Journal of Mathematical Sciences, 2015, 210 (5) : 736 - 757
[32] On the Stabilization Rate of Solutions of the Cauchy Problem for a Parabolic Equation with Lower-Order Terms
Denisov V.N.
[J]. Journal of Mathematical Sciences, 2018, 233 (6) : 807 - 827
[33] Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients
Remizov, Ivan D.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (07)
[34] Necessary and sufficient conditions for stabilization of a solution to the Cauchy problem for the parabolic equation with radial potential
Denisov V.N.
[J]. Journal of Mathematical Sciences, 2013, 188 (3) : 207 - 217
[35] THE STABILIZATION OF A SOLUTION OF A CAUCHY-PROBLEM FOR PARABOLIC EQUATIONS
DENISOV, VN
REPNIKOV, VD
[J]. DIFFERENTIAL EQUATIONS, 1984, 20 (01) : 16 - 33
[36] STABILIZATION OF THE SOLUTION OF THE CAUCHY-PROBLEM FOR PARABOLIC EQUATIONS
DENISOV, VN
ZHIKOV, VV
[J]. MATHEMATICAL NOTES, 1985, 37 (5-6) : 456 - 466
[37] On stabilization of the solution of the Cauchy problem for quasilinear parabolic equations
Denisov, VN
Muravnik, AB
[J]. DIFFERENTIAL EQUATIONS, 2002, 38 (03) : 369 - 374
[38] On Stabilization of the Solution of the Cauchy Problem for Quasilinear Parabolic Equations
V. N. Denisov
A. B. Muravnik
[J]. Differential Equations, 2002, 38 : 369 - 374
[39] A NECESSARY AND SUFFICIENT STABILIZATION CONDITION FOR THE SOLUTION TO THE CAUCHY-PROBLEM FOR AN EQUATION WITH OPERATOR COEFFICIENTS
GLUSHAK, AV
[J]. DIFFERENTIAL EQUATIONS, 1994, 30 (07) : 1030 - 1036
[40] Sufficient conditions for stabilization of solutions of the cauchy problem for nondivergent parabolic equations with lower-order coefficients
Vasiliĭ Nikolaevich Denisov
[J]. Journal of Mathematical Sciences, 2010, 171 (1) : 46 - 57

← 1 2 3 4 5 →