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 mul...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2020, 57(6), , pp.1393-1408
Main Authors: Yiwen Cui, Weiliang Xiao
Format: Article
Language:English
Subjects:
수학
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Summary: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. KCI Citation Count: 0
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b191054