{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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THE EXISTENCE OF GLOBAL SOLUTION AND THE BLOWUP PROBLEM FOR SOME p-LAPLACE HEAT EQUATIONS THE EXISTENCE OF GLOBAL SOLUTION AND THE BLOWUP PROBLEM FOR SOME p-LAPLACE HEAT EQUATIONS

THE EXISTENCE OF GLOBAL SOLUTION AND THE BLOWUP PROBLEM FOR SOME p-LAPLACE HEAT EQUATIONS

  • 期刊名字：數(shù)學(xué)物理學(xué)報（英文版）
  • 文件大?。?/li>
  • 論文作者：Wang Yang
  • 作者單位：Department of Mathematics
  • 更新時間：2023-02-07
  • 下載次數(shù)：次
論文簡介

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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