Title of article
Global well-posedness for Keller–Segel system in Besov type spaces
Author/Authors
Iwabuchi، نويسنده , , Tsukasa، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
19
From page
930
To page
948
Abstract
The Cauchy problems for Keller–Segel system are studied using homogeneous Besov spaces. With the homogeneous Besov spaces B ˙ p , ∞ − 2 + n p ( R n ) , which is the scaling critical case for Keller–Segel system, global solutions for small initial data are obtained in the space. In addition, ill-posedness for Keller–Segel system is also studied.
Keywords
Parabolic-elliptic system , Homogeneous Besov spaces , Cauchy problems , Ill-posedness , Keller–Segel system
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561849
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