TY - JOUR
T1 - Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain
AU - Xu , Zijun
JO - Journal of Partial Differential Equations
VL - 4
SP - 322
EP - 332
PY - 2019
DA - 2019/01
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n4.3
UR - https://global-sci.org/intro/article_detail/jpde/12946.html
KW - Elliptic-parabolic (hyperbolic) system
KW - chemotaxis model
KW - local existence
KW - global existence.
AB - <p>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.</p>