【摘 要】
：
This article consider, for the following heat equation{ut/|x|s-△pu=uq,(x,t) ∈ Ω×(0,T),u(x,t)=0,(x,t) ∈(δ)Ω×(0,T),u(x,0) =u0(x), u0(x)≥0,u0(x) (≠)0 the
【机 构】
：
Department of Mathematics
【基金项目】
：
PhD Program Scholarship Fund of ECNU 2006
论文部分内容阅读
This article consider, for the following heat equation{ut/|x|s-△pu=uq,(x,t) ∈ Ω×(0,T),u(x,t)=0,(x,t) ∈(δ)Ω×(0,T),u(x,0) =u0(x), u0(x)≥0,u0(x) (≠)0 the existence of global solution under some conditions and give two sufficient conditions for the blow up of local solution in finite time, where Ω is a smooth bounded domain in RN(N＞p),0 ∈ Ω,△pu=div(|▽u|p-2▽u),0 ≤s≤2,p≥2,p-1＜q＜Np-Np+p/N-p.
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