THE PROFILE NEAR BLOWUP TIME FOR SOLUTION OF THE HEAT-EQUATION WITH A NONLINEAR BOUNDARY-CONDITION

被引：199

作者：

HU, B

YIN, HM

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 346卷 / 01期

关键词：

BLOWUP RATE; ASYMPTOTIC BEHAVIOR; ELLIPTIC ESTIMATES; PARABOLIC ESTIMATES;

D O I：

10.2307/2154944

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the blowup profile near the blowup time for the heat equation u(t) = DELTAu with the nonlinear boundary condition u(n) = u(p) on partial derivativeOMEGA x [0, T). Under certain assumptions, the exact rate of the blowup is established. It is also proved that the blowup will not occur in the interiror of the domain. The asymptotic behavior near the blowup point is also studied.

引用

页码：117 / 135

页数：19

共 27 条

[21] THE BLOW-UP RATE OF SOLUTIONS OF SEMILINEAR HEAT-EQUATIONS [J].