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BLOW-UP OF POSITIVE SOLUTIONS OF A SEMILINEAR HEAT EQUATION

BLOW-UP OF POSITIVE SOLUTIONS OF A SEMILINEAR HEAT EQUATION
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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). 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).
作者 王明新
出处 《Acta Mathematica Scientia》 SCIE CSCD 1993年第1期33-38,共6页 数学物理学报(B辑英文版)
基金 The project is supported by the Pose-Doctor Foundation of China.
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