Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GEVREY REGULARITY AND TIME DECAY OF THE FRACTIONAL DEBYE-HÜCKEL SYSTEM IN FOURIER-BESOV SPACES

  • Cui, Yiwen (School of Applied Mathematics Nanjing University of Finance and Economics) ;
  • Xiao, Weiliang (School of Applied Mathematics Nanjing University of Finance and Economics)
  • Received : 2019.12.01
  • Accepted : 2020.06.29
  • Published : 2020.11.30
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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

Acknowledgement

The research was supported by the NNSF of China under grant No. 11601223.

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