Generalised supersolutions with mass control for the Keller-Segel system with logarithmic sensitivity

被引：18
|
作者：
Zhigun, Anna [1 ]
机构：
[1] Tech Univ Kaiserslautern, Felix Klein Zentrum Math, Paul Ehrlich Str 31, D-67663 Kaiserslautern, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 467卷 / 02期
关键词：
Chemotaxis; Generalised supersolution; Global existence; Logarithmic sensitivity; PARABOLIC CHEMOTAXIS SYSTEM; GLOBAL EXISTENCE; BOUNDEDNESS; MODEL;
D O I：
10.1016/j.jmaa.2018.08.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of generalised global supersolutions with a control upon the total muss is established for the parabolic parabolic Keller-Segel system with logarithmic sensitivity for any space dimension. It is verified that smooth supersolutions of this sort are actually classical solutions. Unlike the previously existing constructions, neither is the chemotactic sensitivity coefficient required to be small, nor is it necessary for the initial data to be radially symmetric. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1270 / 1286
页数：17
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