一类拟线性抛物型系统爆破界估计的新结果(英文)

New Results on the Blow-up Estimates for a Quasi-linear Parabolic System

首先得到一类拟线性椭圆型方程组正解的先验界估计和衰减性质,从而推出该方程组的径向非增正对称解的不存在性结果.利用此结果建立了一类拟线性抛物型方程组的爆破界的估计,推广了半线性抛物型方程组的结果.

The non-existence of radially non-increasing positive solutions is derived for a system of quasi-linear elliptic differential equations first of all. By using this non-existence result, blow-up estimates for a class of quasi-linear parabolic systems are established to extend the result for semi-linear parabolic systems.