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Journal of Evolution Equations

, Volume 10, Issue 2, pp 247–262 | Cite as

Blowup of solutions to generalized Keller–Segel model

  • Piotr BilerEmail author
  • Grzegorz Karch
Article

Abstract

The existence and nonexistence of global in time solutions is studied for a class of equations generalizing the chemotaxis model of Keller and Segel. These equations involve Lévy diffusion operators and general potential type nonlinear terms.

Mathematics Subject Classification (2000)

35Q 35K55 35B40 

Keywords

Nonlocal parabolic equations Blowup of solutions Lévy diffusion Chemotaxis Moment method 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Instytut MatematycznyUniwersytet WrocławskiWrocławPoland

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