摘要
本文考虑初值一边值问题我们假设当t<σ时存在唯一的解,σ的上界记为T,并设T<∞。在球对称情况,取Ω为球,设u_(or)<0, V_(or)<0,我们对一般f_1,f_2证明了r=0是唯一的blow—up点。对f_1=f_2=(u+λ)~p(v+λ)~p,λ>0,p>1,我们得到估计对,我们得到估计在一维情况,我们证明了blow-up点集位于中。
In this paper we consider the matter of the initial-boundary value: We assume that Tdenotes the supremum of all б which enables the solution to exist for all t<б. We assume that T<∞。 In the symmetric case Ω is a ball. It is assumed that u_or<0, v_or<0.Then we prove that the blow-up set consists of the single piont r=0, for a general class of functions f_1、f_2. For ForWe obtain the estimates u、v we obtain the estimates u, dimensional case, we prove that the blow-up set lies in, where, dist, Weobtain
出处
《南京大学学报（自然科学版）》
CAS
CSCD
1990年第2期173-186,共14页
Journal of Nanjing University（Natural Science）
基金
中国科学院科学资金资助课题
关键词
抛物型
方程组
爆炸点
估计
parabolic system
blow-up point
estimate
