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The Fractional Ginzburg-Landau equation with distributional initial data

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  • The paper is concerned with real fractional Ginzburg-Landau equation. Existence and uniqueness of local and global mild solution with distributional initial data are obtained by contraction mapping principle and carefully choosing the working space, and Gevrey regularity of mild solution for flat torus case is discussed.
    Mathematics Subject Classification: Primary: 35Q99, 35D10; Secondary: 78A99.


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