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

中图分类号：

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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