Local Harnack Inequality for Porous Medium Equation with Convection

被引:0
作者
Lu Guofu
机构
关键词
porous medium equation; convection; Harnack inequality; BCP estimates;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
In this paper we consider the following problem where the summation convention is used. We call the equation as porous medium equation with convection. Let u = u(x,t) be a continuous weak solution of the equation in Rn × (0 ,T] for some T> 0. Then we can establish BCP estimates and the intrinsic Harnack inequality for the solution of the equation just as the standard equation discussed by other authors previously. This work lay a main foundation of studying other properties of this problem further.
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页码:17 / 30
页数:14
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