Spatial Analyticity of Solutions to Keller-Segel Equation of Parabolic-Elliptic Type

作     者：Yang Minghua Sun, Jinyi 

作者机构：Jiangxi Univ Finance & Econ Sch Informat Technol Nanchang 330032 Jiangxi Peoples R China Northwest Normal Univ Coll Math & Stat Lanzhou 730070 Gansu Peoples R China 

出 版 物：《RESULTS IN MATHEMATICS》 (Results Math.)

年 卷 期：2017年第72卷第4期

页      面：1653-1681页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Natural Science Foundation of China 

主　　题：Keller-Segel equation of parabolic-elliptic type Fourier-Besov spaces modulation spaces Gevrey regularity 

摘      要：In this article, spatial analyticity of solutions to Keller-Segel equation of parabolic-elliptic type with generalized dissipation is presented. First, we prove the analyticity of local solutions to system with large rough initial data in Modulation spaces with . Secondly, we establish the analyticity of solutions to the system with initial data in critical Fourier-Besov spaces with (or ) and , the main method is so-called Gevrey estimates, which is motivated by the works of Foias and Temam (Foias in Contemp Math 208:151-180, 1997). In the critical case that , we prove global Gevrey analyticity for small initial data in critical Fourier-Besov spaces with and . The results of us particularly imply temporal decay rates of higher Fourier-Besov norms of solutions.