Global existence and boundedness in a supercritical quasilinear degenerate Keller-Segel system under relaxed smallness conditions for initial data
Global existence and boundedness in a supercritical quasilinear degenerate Keller-Segel system under relaxed smallness conditions for initial data
复制标题
初始数据宽松小条件下超临界拟线性简并 Keller-Segel 系统的全局存在性和有界性
DOI：
10.1007/s10440-022-00504-y
复制
发表时间：
2022
影响因子：
1.6
通讯作者：
Tomomi Yokota
中科院分区：
文献类型：
--
作者：
Tsukasa Ogawa;Tomomi Yokota
研究一类抛物-抛物型拟线性退化Keller-Segel系统。石田和横田（J. Differ）证明了这一点。式252:2469-2491)可知，如果，则系统在初始数据较小条件下具有全局弱解，其中描述扩散强度，表示非线性，并表示维数。Wang等（Z. Angew.）放宽了小尺度条件。数学。（物理学70:18页）。本文的目的是在更一般的条件下获得初始数据的全局存在性和有界性，并放宽Ishida和Yokota （J. Differ.）的假设条件。方程252:2469-2491)。
This paper is concerned with a quasilinear degenerate Keller–Segel system of parabolic–parabolic type. It was proved in Ishida and Yokota (J. Differ. Equ. 252:2469–2491, ) that if, then the system has a global weak solution under smallness conditions for initial data, wheredescribes the intensity of diffusion,shows the nonlinearity, anddenotes the dimension. The smallness conditions were relaxed in Wang et al. (Z. Angew. Math. Phys. 70:18 pp., ) when. The purpose of this paper is to obtain global existence and boundedness under more general conditions for initial data in the caseand to relax the conditions assumed in Ishida and Yokota (J. Differ. Equ. 252:2469–2491, ).