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arxiv: 1507.05132 · v1 · pith:XVQADUKQnew · submitted 2015-07-17 · 🧮 math.AP

Boundeness of solutions to Fractional Laplacian Ginzburg-Landau equation

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keywords equationfractionallaplacianboundenessginzburg-landausolutionsbrezisextends
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In this paper, we give the boundeness of solutions to Fractional Laplacian Ginzburg-Landau equation, which extends the Brezis theorem into the nonlinear Fractional Laplacian equation. A related linear fractional Schrodinger equation is also studied.

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