The Pointwise Estimates of Solutions to the Cauchy Problem of a Chemotaxis Model

被引：0

作者：

Renkun SHI ^{[1
]}

Weike WANG ^{[1
]}

机构：

[1] Department of Mathematics, Shanghai Jiao Tong University

来源：

ChineseAnnalsofMathematics(SeriesB) | 2016年 / 37卷 / 01期

基金：

中国国家自然科学基金; 新加坡国家研究基金会;

关键词：

Chemotaxis model; Pointwise estimates; Green’s function; Decay rates;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper deals with an attraction-repulsion chemotaxis model(ARC) in multi-dimensions. By Duhamel’s principle, the implicit expression of the solution to(ARC)is given. With the method of Green’s function, the authors obtain the pointwise estimates of solutions to the Cauchy problem(ARC) for small initial data, which yield the W s,p(1 ≤p≤∞) decay properties of solutions.

引用

页码：111 / 124

页数：14

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