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

[11] ASYMPTOTICALLY SELF-SIMILAR BLOW-UP OF SEMILINEAR HEAT-EQUATIONS [J].

GIGA, Y ;

KOHN, RV .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (03) :297-319

[12] CHARACTERIZING BLOWUP USING SIMILARITY VARIABLES [J].

GIGA, Y ;

KOHN, RV .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1987, 36 (01) :1-40

[13]

GIGA Y, 1989, COMMUN PUR APPL MATH, V42, P297

[14]

Gilbarg D., 1983, ELLIPTIC PARTIAL DIF

[15]

HERRERO M, IN PRESS INTEGRAL DI

[16]

HERRERO MA, IN PRESS ANN I H POI

[17]

HERRERO MA, IN PRESS COMM PDE

[18]

KELLER J, UNPUB

[19]

KIRCHGRABER U, 1989, DYNAMICS REPORTED, V2

[20]

LIU W, 1990, IMA711 PREPR

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