On the fractional doubly parabolic Keller-Segel system modelling chemotaxis

被引：0
|
作者：
Mario Bezerra [1 ]
Claudio Cuevas [1 ]
Clessius Silva [2 ]
Herme Soto [3 ]
机构：
[1] Department of Mathematics, Federal University of Pernambuco
[2] Department of Mathematics, Rural Federal University of Pernambuco
[3] Department of Mathematics and Statistics, University of La Frontera
来源：
ScienceChina(Mathematics) | 2022年 / 65卷 / 09期
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中图分类号：
O175.26 [抛物型方程];
学科分类号：
摘要：
This work is concerned with the time-fractional doubly parabolic Keller-Segel system in R~N(N≥1),and we derive some refined results on the large time behavior of solutions which are presupposed to enjoy some uniform boundedness properties. Moreover, the well-posedness and the asymptotic stability of solutions in Marcinkiewicz spaces are studied. The results are achieved by means of an appropriate estimation of the system nonlinearity in the course of an analysis based on Duhamel-type representation formulae and the Kato-Fujita framework which consists in constructing a fixed-point argument by using a suitable time-dependent space.
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页码：1827 / 1874
页数：48
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