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• W2767574887 abstract "This paper deals with the chemotaxis system with general sensitivity function: ut=∇·(δ∇u-uχ(v)∇v),x∈Ω,t>0,0=Δv-v+u,x∈Ω,t>0, under homogeneous Neumann boundary conditions in a bounded domain Ω⊂Rn,n≥2, with smooth boundary. Here, δ>0 and the initial function u(x,0)=u0 and the sensitivity function χ satisfy: u0∈C0(Ω¯)with∫Ωu0dx>0,χ(s)>0fors>0andχ∈C1([0,∞)). We prove that the classical solutions to the above system are uniformly in-time-bounded provided that there exists a smooth positive function φ such that for some p>n2 and 0 0, where φ′(s) 0 and k≥1. These results coincide with the results obtained by Fujie et al. [Math Methods Appl Sci. 2015] in the case of k=1 and extend their results in the case of k>1 ." @default.
• W2767574887 created "2017-11-17" @default.
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• W2767574887 date "2017-11-07" @default.
• W2767574887 modified "2023-09-24" @default.
• W2767574887 title "Boundedness of classical solutions for a chemotaxis system with general sensitivity function" @default.
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• W2767574887 doi "https://doi.org/10.1080/00036811.2017.1399361" @default.
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