Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces

IF 0.4 Q4 MATHEMATICS
Achraf Azanzal, C. Allalou, S. Melliani
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引用次数: 0

Abstract

In this paper, we study the analyticity of mild solutions to the Debye-Huckel 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-BesovMorrey spaces. Finally, we show a blow-up criterion of the local-in-time mild solutions of the Debye-Huckel system.
临界Fourier Besov-Morrey空间中Debye-Hüuckel系统的Gevrey类正则性和稳定性
本文研究了临界Fourier Besov-Morrey空间中具有小初始数据的Debye—Huckel系统的温和解的分析性。具体地,通过使用傅立叶局部化论点、Littlewood-Paley理论和双线性型不动点理论,我们证明了全局时间温和解是Gevrey正则的。作为分析性的结果,我们得到了傅立叶-贝索夫-莫里空间中温和解的时间衰减。最后,我们给出了Debye-Hackel系统局部时间温和解的爆破准则。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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