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.
|Number of pages||9|
|Publication status||Published - 2014 Jan 1|
- Global existence
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