The Fractional Ginzburg-Landau Equation with Initial Data in Morrey Spaces $\phi$

The Fractional Ginzburg-Landau Equation with Initial Data in Morrey Spaces $\phi$

Year:    2022

Author:    Jingna Li, Xiaoting Yang, Li Xia

Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 3 : pp. 457–470

Abstract

The paper is concerned with fractional Ginzburg-Landau equation. Existence and uniqueness of local and global mild solution with initial data in Morrey spaces are obtained by contraction mapping principle and carefully choosing the working space, further regularity of mild solution is also discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2022-CMAA-20664

Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 3 : pp. 457–470

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Fractional Ginzburg-Landau equation well-posedness Morrey space regularity.

Author Details

Jingna Li

Xiaoting Yang

Li Xia