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

[1] A FURTHER LOOK AT BLOW-UP PHENOMENA FOR U(T)-DELTA-U=G(U)
BREZIS, H
CAZENAVE, T
MARTEL, Y
RAMIANDRISOA, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 321 (10): : 1305 - 1308
[2] ON SOLUTIONS TO THE INITIAL-BOUNDARY VALUE-PROBLEM FOR DELTA/DELTA-T U-DELTA-BETA(U)=F
NAKAO, M
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1983, 35 (01) : 71 - 83
[3] BLOW-UP ANALYSIS FOR SOLUTIONS OF -DELTA-U=VE(U) IN DIMENSION-2
LI, YY
SHAFRIR, I
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1994, 43 (04) : 1255 - 1270
[4] ON THE INITIAL-BOUNDARY-VALUE PROBLEM FOR U(T)-DIV(VERTICAL-BAR-DELTA-U-VERTICAL-BAR-P-2-DELTA-U)=0
XU, XS
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1994, 127 (04) : 319 - 335
[5] A NOTE ON BOUNDARY BLOW-UP PROBLEM OF Δu = up
Kim, Seick
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (01) : 245 - 251
[6] On the solutions of the equation Delta u=e(u) blowing up on the boundary
Posteraro, MR
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 322 (05): : 445 - 450
[7] BLOW-UP FOR SOLUTIONS OF CLASS-U=/U/P WITH SMALL INITIAL DATA
LINDBLAD, H
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (06) : 757 - 821
[8] BOUNDARY VALUE PROBLEM FOR EQUATION DELTA-U = U2
POKHOZHA.SI
DOKLADY AKADEMII NAUK SSSR, 1961, 138 (02): : 305 - &
[9] Stability of blow-up profile for equation of the type u(t)=Delta u+vertical bar u vertical bar(p-1)u
Merle, F
Zaag, H
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 322 (04): : 345 - 350
[10] Stability of the blow-up profile for equations of the type u(t)=Delta u+vertical bar u vertical bar(p-1)u
Merle, F
Zaag, H
DUKE MATHEMATICAL JOURNAL, 1997, 86 (01) : 143 - 195

← 1 2 3 4 5 →