Research Communication | Open Access
Volume 2021 | Communication ID 295
Volume 2021 | Communication ID 295
| On the Cauchy problem for the fractional drift-diffusion system in critical Fourier-Besov-Morrey spaces |
Achraf Azanzal, Adil Abbassi, Chakir Allalou
Received |
Accepted |
Published |
February 06, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In this paper, we study the Cauchy problem of the fractional drift-diffusion system. By using the Fourier localization argument and the Littlewood Paley theory, we get the local well-posedness for large initial data in critical Fourier-Besov-Morrey space , Moreover, if the initial data is sufficiently small then the solution is global.