TY - JOUR
T1 - Global well-posedness for Keller-Segel system in Besov type spaces
AU - Iwabuchi, Tsukasa
PY - 2011/7/15
Y1 - 2011/7/15
N2 - The Cauchy problems for Keller-Segel system are studied using homogeneous Besov spaces. With the homogeneous Besov spaces Ḃ p,∞-2+np(Rn), 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.
AB - The Cauchy problems for Keller-Segel system are studied using homogeneous Besov spaces. With the homogeneous Besov spaces Ḃ p,∞-2+np(Rn), 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.
KW - Cauchy problems
KW - Homogeneous besov spaces
KW - Ill-posedness
KW - Keller-Segel system
KW - Parabolic-elliptic system
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U2 - 10.1016/j.jmaa.2011.02.010
DO - 10.1016/j.jmaa.2011.02.010
M3 - Article
AN - SCOPUS:79952817744
SN - 0022-247X
VL - 379
SP - 930
EP - 948
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -