The pointwise estimates of solutions to the Cauchy problem of a chemotaxis model

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• 作者：Renkun Shi ; Weike Wang
• 关键词：Chemotaxis model ; Pointwise estimates ; Green’s function ; Decay rates
• 刊名：Chinese Annals of Mathematics - Series B
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：37
• 期：1
• 页码：111-124
• 全文大小：201 KB
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• 作者单位：Renkun Shi (1)
  Weike Wang (1)
  
  1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Applications of Mathematics
  Chinese Library of Science
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1860-6261

文摘

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.