BLOW-UP OF POSITIVE SOLUTIONS OF A SEMILINEAR HEAT-EQUATION

被引:0
|
作者
WANG, MX [1 ]
机构
[1] ACAD SINICA,INST SYST SCIS,BEIJING 100080,PEOPLES R CHINA
关键词
D O I
10.1016/S0252-9602(18)30188-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The initial value problem in R(n) in discussed, [GRAPHICS] where p > 1. It is well known that the solution u(x,t) blows up in finite time for some initial values phi. In this paper, it is proved that the blow-up occurs only at point x = 0 for some special initial values phi(x).
引用
下载
收藏
页码:33 / 38
页数:6
相关论文
共 50 条
  • [41] Blow-up of solutions to a semilinear heat equation with a viscoelastic term and a nonlinear boundary flux
    Han, Yuzhu
    Gao, Wenjie
    Li, Haixia
    COMPTES RENDUS MATHEMATIQUE, 2015, 353 (09) : 825 - 830
  • [42] On backward self-similar blow-up solutions to a supercritical semilinear heat equation
    Mizoguchi, Noriko
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 : 821 - 831
  • [43] Type II blow-up for a semilinear heat equation with potential
    Jiang, Gui-Chun
    Wang, Ruo-Yi
    Wang, Yu-Xuan
    Zheng, Gao-Feng
    MONATSHEFTE FUR MATHEMATIK, 2021, 195 (04): : 659 - 673
  • [44] Type II blow-up for a semilinear heat equation with potential
    Gui-Chun Jiang
    Ruo-Yi Wang
    Yu-Xuan Wang
    Gao-Feng Zheng
    Monatshefte für Mathematik, 2021, 195 : 659 - 673
  • [45] Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation
    Khenissy, S.
    Rebai, Y.
    Zaag, H.
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2011, 28 (01): : 1 - 26
  • [46] THE BLOW-UP BEHAVIOR OF THE HEAT-EQUATION WITH NEUMANN BOUNDARY-CONDITIONS
    DENG, K
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 188 (02) : 641 - 650
  • [47] NUMERICAL BLOW-UP SOLUTIONS FOR SOME SEMILINEAR HEAT EQUATIONS
    N'Gohisse, Firmin K.
    Boni, Theodore K.
    ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2008, 30 : 247 - 257
  • [48] THE BLOW-UP RATE OF SOLUTIONS OF SEMILINEAR HEAT-EQUATIONS
    LIU, WX
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 77 (01) : 104 - 122
  • [49] THE BLOW-UP RATE FOR THE HEAT-EQUATION WITH A NONLINEAR BOUNDARY-CONDITION
    FILA, M
    QUITTNER, P
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1991, 14 (03) : 197 - 205
  • [50] Numerical blow-up solutions for some semilinear heat equations
    N'Gohisse, Hrmin K.
    Boni, Theodore K.
    Electronic Transactions on Numerical Analysis, 2008, 30 : 247 - 257