Critical Fujita Exponent for the Porous Medium Equation in RN with hole

被引：0

作者：

Zhou, Jun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2020年 / 27卷 / 02期

关键词：

Porous medium equation; Convection; Critical Fujita exponent; Blow-up; DEGENERATE PARABOLIC-SYSTEM; BLOW-UP; GLOBAL EXISTENCE; HEAT-EQUATIONS; WAVE-EQUATIONS; CAUCHY-PROBLEM; DOMAINS; BEHAVIOR;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the large time behavior of solutions to the Neumann Problem of the porous medium equation. It is shown that the critical Fujita exponent is determined not only by the spatial dimension and the nonlinear exponent, but also by the coefficient k of the first-order term.

引用

页码：299 / 319

页数：21

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