Regional blow-up of solutions to the initial boundary value problem for u(t)=u(delta)(Delta u+u)

被引：10

作者：

Tsutsumi, M

Ishiwata, T

机构：

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1997年 / 127卷

关键词：

D O I：

10.1017/S030821050002388X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Non-negative solutions of the initial boundary value problem for a degenerate parabolic equation are investigated. It is shown that solutions blow up regionally in finite tine. The size of blow-up sets is determined for radially symmetric cases.

引用

页码：871 / 887

页数：17

共 50 条

[21] UNIQUENESS OF POSITIVE SOLUTIONS OF DELTA-U+U+UP=0 IN A BALL
ZHANG, LQ
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1992, 17 (7-8) : 1141 - 1164
[22] UNIQUENESS OF POSITIVE SOLUTIONS OF DELTA-U-U+UP=0 IN RN
KWONG, MK
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1989, 105 (03) : 243 - 266
[23] THE EQUATION U-T-T-DELTA-U=PARALLEL-TO-U-P FOR THE CRITICAL VALUE OF P
SCHAEFFER, J
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 101 : 31 - 44
[24] On the singular equation beta(u)(t)=Delta u
DiBenedetto, E
Vespri, V
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 132 (03) : 247 - 309
[25] POSITIVE SOLUTIONS OF DELTA(G)U=U(Q)+SU SINGULAR AT SUBMANIFOLDS WITH BOUNDARY
FINN, DL
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1994, 43 (04) : 1359 - 1397
[26] SOLUTIONS OF NON-LINEAR DIFFERENTIAL-EQUATION DELTA-U-DELTA-T+45/2-DELTA-2U2-DELTA-U-DELTA-X-DELTA-5U-DELTA-X5H0
YAMAMOTO, Y
TAKIZAWA, EI
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (04) : 1055 - 1056
[27] A BOUNDARY PROBLEM FOR THE DELTA/DELTA-XDELTA-U=0 EQUATION
MARKHASEV, G
DOKLADY AKADEMII NAUK SSSR, 1956, 110 (06): : 926 - 928
[28] UNIQUENESS OF SOLUTIONS OF THE INITIAL-VALUE PROBLEM FOR UT-DELTA-PHI(U)=0
BREZIS, H
CRANDALL, MG
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1979, 58 (02): : 153 - 163
[29] ON UNBOUNDED SOLUTIONS OF CAUCHY-PROBLEM FOR THE PARABOLIC EQUATION UT = DELTA(U-SIGMA DELTA-U)+U-BETA
GALAKTIONOV, VA
KURDIUMOV, SP
MIKHAILOV, AP
SAMARSKII, AA
DOKLADY AKADEMII NAUK SSSR, 1980, 252 (06): : 1362 - 1364
[30] EXISTENCE OF SMALL SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE DELTA-U=F(U) EQUATION
BELOV, YA
ZRAZHEVSKAYA, VF
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1985, (09): : 3 - 6

← 1 2 3 4 5 →