Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system
Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system
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DOI：
10.3934/dcdsb.2021099
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Yumi Yahagi
中科院分区：
文献类型：
--
作者：
Yumi Yahagi
本文考虑了一维抛物-抛物型Keller-Segel方程组，它定义在有界区间上，具有Dirichlet边界条件。在初始数据足够小的假设下，利用逐次逼近的方法构造了系统的唯一温和解，并证明了解对于初始数据的连续性.
In this paper, a one-dimensional Keller-Segel system of parabolic-parabolic type which is defined on the bounded interval with the Dirichlet boundary condition is considered. Under the assumption that initial data is sufficiently small, a unique mild solution to the system is constructed and the continuity of solution for the initial data is shown, by using an argument of successive approximations.