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Global radial solutions in classical Keller-Segel model of chemotaxis

Analysis of PDEs 2018-07-10 v1

Abstract

We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the existence of radial global-in-time solutions in terms of suitable Morrey norms are derived.

Keywords

Cite

@article{arxiv.1807.02628,
  title  = {Global radial solutions in classical Keller-Segel model of chemotaxis},
  author = {Piotr Biler and Grzegorz Karch and Dominika Pilarczyk},
  journal= {arXiv preprint arXiv:1807.02628},
  year   = {2018}
}

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20 pages