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

被引：1

作者：

Yang Minghua ^{[1
]}

Sun, Jinyi ^{[2
]}

机构：

[1] Jiangxi Univ Finance & Econ, Sch Informat Technol, Nanchang 330032, Jiangxi, Peoples R China

[2] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Keller-Segel equation of parabolic-elliptic type; Fourier-Besov spaces; modulation spaces; Gevrey regularity; NAVIER-STOKES EQUATIONS; DRIFT-DIFFUSION EQUATION; GEVREY REGULARITY; MODULATION SPACES; DISSIPATIVE EQUATIONS; BESOV-SPACES; LEVEL SETS; EXISTENCE; DECAY; MODEL;

D O I：

10.1007/s00025-017-0741-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1653 / 1681

页数：29

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