Local and global solvability for Keller-Segel system in Besov-Morrey spaces

被引：2

作者：

Nogayama, Toru ^{[1
]}

Sawano, Yoshihiro ^{[1
]}

机构：

[1] Chuo Univ, Dept Math, Tokyo, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 516卷 / 01期

基金：

日本学术振兴会;

关键词：

Keller-Segel system; Homogeneous Besov-Morrey spaces; Cauchy problems; NAVIER-STOKES EQUATION; DRIFT-DIFFUSION SYSTEM; HEAT-EQUATIONS; WELL-POSEDNESS; EXISTENCE;

D O I：

10.1016/j.jmaa.2022.126508

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the Cauchy problems for the Keller-Segel system. The local/global existence of the solution is established for initial data in homogeneous Besov-Morrey spaces in the scaling critical case. Unfortunately, Besov-Morrey spaces are not separable in general. So, attention must be paid to the compatibility of initial data. From this viewpoint, a new closed subspace of Besov-Morrey spaces is introduced to consider the local solution. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：25

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