Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain

Zijun Xu

doi:10.4208/jpde.v31.n4.3

Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain

Authors

Zijun Xu School of Mathematics, Jinzhong University, Jinzhong 030619, China

DOI:

https://doi.org/10.4208/jpde.v31.n4.3

Keywords:

Elliptic-parabolic (hyperbolic) system;chemotaxis model;local existence;global existence.

Abstract

In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic (hyperbolic) Type Chemotaxis System. In addition, global solvability of the systems is considered by some uniform estimates.

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Published

2020-05-12

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Issue

Vol. 31 No. 4 (2018)

Section

Articles

How to Cite

Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain. (2020). Journal of Partial Differential Equations, 31(4), 322-332. https://doi.org/10.4208/jpde.v31.n4.3