WELL-POSEDNESS OF A POROUS MEDIUM FLOW WITH FRACTIONAL PRESSURE IN SOBOLEV SPACES

被引：0

作者：

Zhou, Xuhuan ^{[1
]}

Xiao, Weiliang ^{[2
]}

机构：

[1] Nanjing Forest Police Coll, Dept Informat Technol, Nanjing 210023, Jiangsu, Peoples R China

[2] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Fractional porous medium equation; Sobolev space; degenerate diffusion transport equation; MEDIUM EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a non-negative solution for a linear degenerate diffusion transport equation from which we derive the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces H-alpha with nonnegative initial data, alpha > d/2 + 1. We also correct a mistake in our previous paper [14].

引用

页数：7

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