Global well-posedness for nonlocal fractional Keller-Segel systems in critical Besov spaces

DOI10.1016/j.na.2009.12.011zbMath1184.35154OpenAlexW1991415277MaRDI QIDQ847368

Zhichun Zhai

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.12.011

zbMATH Keywords

small initial datafractional diffusion\(L_p-L_q\) estimates

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

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