一类超快速扩散的非Newton渗流方程

A Class of Superdiffusion Non-Newtonian Filtration Equations

研究一类超快速扩散方程——— u x2 -p u t=( 1-p) 2 u x2 ,-∞ <p <1的Dirichlet问题 ,利用抛物正则化方法证明了解的存在性 .

We have studied the Dirichlet problem for a class of superdiffusion non-Newtonian filtration equations ? ? JB(|]ux 2-p ut=(1-p) 2ux 2, -∞<p<1. We proved existence of solutions by the method of parabolic regularization.