TY - JOUR
T1 - Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model
AU - Lyn , Wenbin
JO - Journal of Partial Differential Equations
VL - 4
SP - 365
EP - 380
PY - 2023
DA - 2023/11
SN - 36
DO - http://doi.org/10.4208/jpde.v36.n4.3
UR - https://global-sci.org/intro/article_detail/jpde/22134.html
KW - Free boundary, chemotaxis, local solution.
AB - <p style="text-align: justify;">In this paper, we are interested in a free boundary problem for a chemotaxis model with double free boundaries. We use contraction mapping principle and
operator-theoretic approach to establish local solvability of a chemotaxis system in 1-Dimensional domain with non-constant coefficient free boundaries.</p>