Gevrey Class Regularity and Stability for the Debye-Hu spacing diaeresis ckel System in Critical Fourier-Besov-Morrey Spaces

被引：4

作者：

Azanzal, Achraf ^{[1
]}

Allalou, Chakir ^{[1
]}

Melliani, Said ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab LMACS, FST, Beni Mellal, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Debye-Hu?ckel system; Space analyticity; Blow-up criterion; Littlewood-Paley theory; Fourier-Morrey-Besov spaces; KELLER-SEGEL SYSTEM; NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; HEAT-EQUATIONS; CAUCHY-PROBLEM; TIME DECAY; ANALYTICITY; EXISTENCE;

D O I：

10.5269/bspm.62517

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the analyticity of mild solutions to the Debye-Hu center dot ckel system with small initial data in critical Fourier-Besov-Morrey spaces. Specifically, by using the Fourier localization argument, the Littlewood-Paley theory and bilinear-type fixed point theory, we prove that global-in-time mild solutions are Gevrey regular. As a consequence of analyticity, we get time decay of mild solutions in Fourier-Besov-Morrey spaces. Finally, we show a blow-up criterion of the local-in-time mild solutions of the Debye-Hu center dot ckel system.

引用

页码：14 / 19

页数：6

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