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

[41] On the Stabilization Rate of Solutions of the Cauchy Problem for Nondivergent Parabolic Equations with Growing Lower-Order Terms
Denisov V.N.
Journal of Mathematical Sciences, 2021, 259 (6) : 804 - 816
[42] Blowup behavior for a nonlinear parabolic equation of nondivergence form
Guo, JS
Hu, B
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (04) : 577 - 590
[43] CAUCHY PROBLEM FOR SECOND-ORDER PARABOLIC EQUATIONS WITH GROWING COEFFICIENTS
PROKOPENKO, LN
DOKLADY AKADEMII NAUK SSSR, 1962, 144 (06): : 1221 - &
[44] ON ONE METHOD OF SOLVING CAUCHY PROBLEM FOR PARABOLIC EQUATION WITH VARIABLE COEFFICIENTS
PAVLYUK, IA
GUZ, AS
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1970, (07): : 605 - &
[45] STABILIZATION OF TIME MEANS OF SOLUTIONS OF A CAUCHY-PROBLEM FOR A PARABOLIC EQUATION
DENISOV, VN
DIFFERENTIAL EQUATIONS, 1988, 24 (01) : 33 - 42
[46] Monte Carlo solution of Cauchy problem for a nonlinear parabolic equation
Rasulov, A.
Raimova, G.
Mascagni, M.
MATHEMATICS AND COMPUTERS IN SIMULATION, 2010, 80 (06) : 1118 - 1123
[47] Regularity of Solution to the Cauchy Problem for Parabolic Equation in the Dini Space
Zhenyakova I.V.
Cherepova M.F.
Journal of Mathematical Sciences, 2021, 259 (2) : 172 - 186
[48] STABILIZATION OF BOUNDARY VALUE PROBLEM SOLUTION FOR A PARABOLIC EQUATION
PROKA, DV
DOKLADY AKADEMII NAUK SSSR, 1971, 197 (02): : 281 - &
[49] Wω2,p-Solvability of the Cauchy-Dirichlet Problem for Nondivergence Parabolic Equations with BMO Coefficients
Tang, Lin
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2012, 64 (01): : 217 - 240
[50] THE AVERAGING OF NONDIVERGENCE 2ND ORDER ELLIPTIC AND PARABOLIC OPERATORS AND THE STABILIZATION OF SOLUTIONS OF THE CAUCHY-PROBLEM
ZIKOV, VV
SIRAZUDINOV, MM
MATHEMATICS OF THE USSR-SBORNIK, 1981, 116 (02): : 149 - 166

← 1 2 3 4 5 →