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

被引：4

作者：

Cui, Yiwen ^{[1
]}

Xiao, Weiliang ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 06期

关键词：

Debye-Huckel system; Gevrey regularity; time decay; Fourier-Besov spaces; DRIFT-DIFFUSION SYSTEM; WELL-POSEDNESS; CAUCHY-PROBLEM; ASYMPTOTIC-BEHAVIOR; CARRIER TRANSPORT; BASIC EQUATIONS; NERNST-PLANCK; EXISTENCE;

D O I：

10.4134/BKMS.b191054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1393 / 1408

页数：16

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