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Bounded global solutions to a Keller–Segel system with nondiffusive chemical in \({\mathbb{R}^{n}}\)

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Abstract

We consider a chemotaxis system, on the whole space, without diffusive term for the chemical substance and prove that even if the chemical sensitivity is large, there exist bounded global solutions, when the initial data are sufficiently small.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Faculty of Science, Shinshu University, Asahi 3-1-1, Matsumoto, Nagano, 390-8621, Japan

    Yohei Tsutsui

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  1. Yohei Tsutsui
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Correspondence to Yohei Tsutsui.

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Tsutsui, Y. Bounded global solutions to a Keller–Segel system with nondiffusive chemical in \({\mathbb{R}^{n}}\) . J. Evol. Equ. 17, 627–640 (2017). https://doi.org/10.1007/s00028-016-0330-x

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  • DOI: https://doi.org/10.1007/s00028-016-0330-x

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