Regularity of Hölder continuous solutions of the supercritical porous media equation

被引：0
作者：
Wenxin Yu
Yigang He
Yaonan Tong
Qiwu Luo
Xianming Wu
机构：
[1] Hunan University,College of Electrical and Information Engineering
[2] Hefei University of Technology,School of Electrical and Automation Engineering
来源：
Boundary Value Problems | / 2013卷
关键词：
porous media equation; supercritical dissipation; regularity; weak solutions;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we present a regularity result for weak solutions of the N-dimensional (N=2 or 3) porous media equation with supercritical (α<1) dissipation Λα. If a Leray-Hopf weak solution is Hölder continuous θ∈Cδ(RN) with δ>1−α on the time interval [0,t], then it is actually a classical solution on (0,t].
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