Gevrey Regularity and time decay of the fractional Debye-H\"uckel System in Fourier-Besov spaces
Bull. Korean Math. Soc.
Published online September 9, 2020
Yiwen Cui and Weiliang Xiao
Nanjing University of Finance and Economics
Abstract : 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.
Keywords : Deby-H\"ucker System, Gevrey regularity, Time Decay, Fourier-Besov Spaces
MSC numbers : 42B37, 35Q35, 35K55, 76B03
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