TY - JOUR T1 - Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term AU - Wu , Shaohua AU - Liu , Lei JO - Journal of Partial Differential Equations VL - 2 SP - 158 EP - 170 PY - 2020 DA - 2020/05 SN - 33 DO - http://doi.org/10.4208/jpde.v33.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/16857.html KW - Parabolic system, chemotaxis, memory term, fixed point theorem. AB -

In this paper, we come up with a parabolic system modelling chemotaxis with memory term, and establish the local existence and uniqueness of weak solutions. The main methods we use are the fixed point theorem and semigroup theory.