数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (1): 33-38.
王明新
Wang Mingxin
摘要： The initial value problem in Rn is discussed,
ut(x,t)-△u(x,t)=up(x,t)-u(x,t), u(x,0)=φ(x) ≥ 0.
where p>1. It is well known that the solution u(x, t) blows up in finite time for some initial values φ. In this paper, it is proved that the blow-up occurs only at point x=0 for some special initial values φ(x).