REFINED ASYMPTOTICS FOR THE BLOWUP OF UT-DELTA-U = UP

被引：152

作者：

FILIPPAS, S ^{[1
]}

KOHN, RV ^{[1
]}

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1992年 / 45卷 / 07期

关键词：

D O I：

10.1002/cpa.3160450703

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with positive, blowing-up solutions of the semilinear heat equation u(t) - DELTA-u = u(P) in R(n). Our main contribution is a sort of center manifold analysis for the equation in similarity variables, leading to refined asymptotics for u in a backward space-time parabola near any blowup point. We also explore a connection between the asymptotics of u and the local geometry of the blowup set.

引用

页码：821 / 869

页数：49

共 23 条

[1]

BEBERNES J, 1988, ANN I H POINCARE-AN, V5, P1

[2] A RESCALING ALGORITHM FOR THE NUMERICAL-CALCULATION OF BLOWING-UP SOLUTIONS [J].