Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term

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Abstract

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.

Keywords:

Parabolic system chemotaxis memory term fixed point theorem.
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DOI

10.4208/jpde.v33.n2.5

How to Cite

Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term. (2020). Journal of Partial Differential Equations, 33(2), 158-170. https://doi.org/10.4208/jpde.v33.n2.5
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