Volume 1, Issue 3
The Fractional Ginzburg-Landau Equation with Initial Data in Morrey Spaces $\phi$

Jingna Li, Xiaoting Yang & Li Xia

Commun. Math. Anal. Appl., 1 (2022), pp. 457-470.

Published online: 2022-06

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  • 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.

  • AMS Subject Headings

35Q99, 35D10, 78A99

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COPYRIGHT: © Global Science Press

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@Article{CMAA-1-457, author = {Li , JingnaYang , Xiaoting and Xia , Li}, title = {The Fractional Ginzburg-Landau Equation with Initial Data in Morrey Spaces $\phi$}, journal = {Communications in Mathematical Analysis and Applications}, year = {2022}, volume = {1}, number = {3}, pages = {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.

}, issn = {2790-1939}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmaa/20664.html} }
TY - JOUR T1 - The Fractional Ginzburg-Landau Equation with Initial Data in Morrey Spaces $\phi$ AU - Li , Jingna AU - Yang , Xiaoting AU - Xia , Li JO - Communications in Mathematical Analysis and Applications VL - 3 SP - 457 EP - 470 PY - 2022 DA - 2022/06 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmaa/20664.html KW - Fractional Ginzburg-Landau equation, well-posedness, Morrey space, regularity. AB -

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.

Li , JingnaYang , Xiaoting and Xia , Li. (2022). The Fractional Ginzburg-Landau Equation with Initial Data in Morrey Spaces $\phi$. Communications in Mathematical Analysis and Applications. 1 (3). 457-470. doi:
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