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

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