Well-posedness for the fractional Fokker-Planck equations

被引：12

作者：

Wei, Jinlong ^{[1
]}

Tian, Rongrong ^{[2
]}

机构：

[1] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 03期

关键词：

LEVY FLIGHTS; DIFFERENTIAL-EQUATIONS; DIFFUSION; FIELDS;

D O I：

10.1063/1.4916286

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the fractional Fokker-Planck equation and obtain the existence and uniqueness of weak L-p-solutions (1 <= p <= infinity) under the assumptions that the coefficients are only in Sobolev spaces. Moreover, to L-infinity-solutions, we gain the well-posedness for BV coefficients. Besides, the non-negative weak L-p-solutions and renormalized solutions are derived. After then, we achieve the stability for stationary solutions. (C) 2015 AIP Publishing LLC.

引用

页数：11

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