Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source

摘要

In this paper, we deal with the chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded convex domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by developing some L-p-estimate techniques, we show that the system possesses at least one global and bounded weak solution. Our results generalized and improved previous results, and partially results are new. (C) 2018 Elsevier Ltd. All rights reserved.