Abstract
We consider the simplest parabolic–elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the blowup of radially symmetric solutions in terms of suitable Morrey spaces norms are derived.
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The first named author was partially supported by the NCN Grant 2016/23/B/ST1/00434. He thanks Ignacio Guerra for interesting conversations. The second author was supported by the Grant UMO-2014/15/B/ST1/00060. We thank the referee for pertinent remarks.
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Biler, P., Zienkiewicz, J. Blowing up radial solutions in the minimal Keller–Segel model of chemotaxis. J. Evol. Equ. 19, 71–90 (2019). https://doi.org/10.1007/s00028-018-0469-8
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DOI: https://doi.org/10.1007/s00028-018-0469-8