Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity

Kentarou Fujie, Tomomi Yokota

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper deals with parabolic-elliptic chemotaxis systems with the sensitivity function χ(v) and the growth term f(u) under homogeneous Neumann boundary conditions in a smooth bounded domain. Here it is assumed that (Formula presented.) and (Formula presented.). It is shown that if χ0 is sufficiently small, then the system has a unique global-in-time classical solution that is uni- formly bounded. This boundedness result is a generalization of a recent result by K.Fujie, M.Winkler, T.Yokota.

Original languageEnglish
Pages (from-to)639-647
Number of pages9
JournalMathematica Bohemica
Volume139
Issue number4
Publication statusPublished - 2014 Jan 1
Externally publishedYes

Keywords

  • Boundedness
  • Chemotaxis
  • Global existence

ASJC Scopus subject areas

  • Mathematics(all)

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