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Local solvability of the Keller–Segel system with Cauchy data in the Besov spaces
Authors:Tsukasa Iwabuchi
Institution:Department of Mathematics, Faculty of Science and Engineering, Chuo University, , Tokyo, 112‐8551 Japan
Abstract:The Cauchy problem for the Keller–Segel system of parabolic elliptic type is considered for initial data in the Besov spaces urn:x-wiley:1704214:media:mma2883:mma2883-math-0001 with p < ∞ , and a sufficient condition is given on the existence and the uniqueness of local solutions. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:Besov spaces  Cauchy problems  Keller–  Segel system
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