Regularity of weak solutions of the Cauchy problem to a fractional porous medium equation

被引：0
|
作者：
Lei Zhang
Shan Li
机构：
[1] Sichuan University,College of Computer Science
[2] Qinghai University,Department of Computer Technology and Application
[3] Sichuan University,Business School
来源：
Boundary Value Problems | / 2015卷
关键词：
fractional diffusion; porous medium equation; weak solution; strong solution; 26A33; 35K57;
D O I：
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摘要：
This paper concerns the regularity of the weak solutions of the Cauchy problem to a fractional porous medium equation with a forcing term. In the recent work (Fan et al. in Comput. Math. Appl. 67:145-150, 2014), the authors established the existence of the weak solution and the uniqueness of the weak energy solution. In this paper, we show that the every nonnegative bounded weak energy solution is indeed a strong solution.
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