Article ID Journal Published Year Pages File Type
4663402 Acta Mathematica Scientia 2016 20 Pages PDF
Abstract

In this paper, we use contraction mapping principle, operator-theoretic approach and some uniform estimates to establish local solvability of the parabolic-hyperbolic type chemotaxis system with fixed boundary in 1-dimensional domain. In addition, local solvability of the free boundary problem is considered by straightening the free boundary.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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