半线性双温度热传导方程解的渐近性质与爆破

Asymptotic Behaviors and Blow-up of Solutions of a Class of Semilinear Double Temprature Heat Equation

研究了半线性双温度热传导方程ut-△u-△ut=f(u,u),x∈Ω,t>0的初边值问题.利用积分估计法及特征函数法,证明了在某些条件下此问题整体解的渐近性质与有限时间爆破.

In this paper,consider the initial boundary value problem for a class of semilinear double temperature heat equation： ut-△u-△ut=f（u,▽u）, x∈Ω, t0.was considered,the asymptotic behaviors and blow-up of finite time of solutions for this problem are obtained by using integral estimate method and eigenfunction method.