论文类型：期刊论文

第一作者：Caihong Gu

通讯作者：Yanbin Tang

发表刊物：Networks and Heterogeneous Media

收录刊物：SCI

所属单位：华中科技大学

刊物所在地：USA

学科门类：理学

一级学科：数学

文献类型：J

卷号：18

期号：1

页面范围：109-139

ISSN号：1556-1801

关键字：Drift-diffusion system, Keller-Segel equations, global solutions, fractional Laplacian, asymptotic behavior, multi-linear operator

DOI码：10.3934/nhm.2023005

发表时间：2023-01-01

影响因子：1.41

摘要：In this paper, we consider the global existence, regularizing decay rate and asymptotic behavior of mild solutions to Cauchy problem of fractional drift diffusion system with power-law nonlinearity. Using the properties of fractional heat semigroup and the classical estimates of fractional heat kernel, we first prove the global-in-time existence and uniqueness of the mild solutions in the frame of mixed time-space Besov space with multi-linear continuous mappings. Then, we show the asymptotic behavior and regularizing-decay rate estimates of the solution to equations with power-law nonlinearity by the method of multi-linear operator and the classical Hardy-Littlewood-Sobolev inequality.