Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces-Reference-Cited by-同舟云学术

Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces

Published:2022-12-27 Issue: Volume:41 Page:1-19
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Azanzal Achraf^ORCID,Allalou Chakir^ORCID,Melliani Said^ORCID

Abstract

In this paper, we study the analyticity of mild solutions to the Debye-Huckel system with small initial data in critical Fourier-Besov-Morrey spaces. Specifically, by using the Fourier localization argument, the Littlewood-Paley theory and bilinear-type fixed point theory, we prove that global-in-time mild solutions are Gevrey regular. As a consequence of analyticity, we get time decay of mild solutions in Fourier-BesovMorrey spaces. Finally, we show a blow-up criterion of the local-in-time mild solutions of the Debye-Huckel system.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

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