Global well-posedness for Keller-Segel system in Besov type spaces (Q531901)
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scientific article; zbMATH DE number 5880901
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global well-posedness for Keller-Segel system in Besov type spaces |
scientific article; zbMATH DE number 5880901 |
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Global well-posedness for Keller-Segel system in Besov type spaces (English)
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20 April 2011
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The Keller-Segel system is a simplified model of chemotaxis. The purpose of this paper is to investigate the Cauchy problem for Keller-Segel system in homogeneous Besov spaces. Existence of global solutions for small initial data is proved for homogeneous Besov spaces \(B_{p,q}^{-2+{m\over p}}(\mathbb R^n)\), which is the scaling critical case for Keller-Segel system. Ill-posedness for the Keller-Segel system is also studied.
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parabolic-elliptic system
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homogeneous Besov spaces
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global solutions
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small initial data
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