Regularity of Holder continuous solutions of the supercritical porous media equation

被引：0
作者：
Yu, Wenxin [1 ]
He, Yigang [2 ]
Tong, Yaonan [1 ]
Luo, Qiwu [1 ]
Wu, Xianming [1 ]
机构：
[1] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Hunan, Peoples R China
[2] Hefei Univ Technol, Sch Elect & Automat Engn, Hefei 230009, Anhui, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2013年
关键词：
porous media equation; supercritical dissipation; regularity; weak solutions; QUASI-GEOSTROPHIC EQUATION;
D O I：
10.1186/1687-2770-2013-225
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 (alpha < 1) dissipation Lambda(alpha). If a Leray-Hopf weak solution is Holder continuous theta is an element of C-delta(R-N) with delta > 1 - alpha on the time interval [0, t], then it is actually a classical solution on [0, t].
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页数：10
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