fourier-besov空间中分数阶debye-hÜckel系统的Gevrey正则性和时间衰减

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/BKMS.B191054

Yiwen Cui, Weiliang Xiao

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引用次数: 0

摘要

本文主要研究了Fourier-Besov空间中具有小初始数据的漂移-扩散型抛物-椭圆型系统温和解的存在性和正则性。为了更详细地说明，我们将利用多线性奇异积分和傅立叶局部化论证来解释全局实时温和解是适定的和Gevrey正则的。进一步，我们得到了Fourier-Besov空间中温和解的时间衰减率估计。

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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GEVREY REGULARITY AND TIME DECAY OF THE FRACTIONAL DEBYE-HÜCKEL SYSTEM IN FOURIER-BESOV SPACES

In this paper we mainly study existence and regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type with small initial data in Fourier-Besov spaces. To be more detailed, we will explain that global-in-time mild solutions are well-posed and Gevrey regular by means of multilinear singular integrals and Fourier localization argument. Furthermore, we can get time decay rate estimate of mild solutions in Fourier-Besov spaces.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).