Boundeness of solutions to Fractional Laplacian Ginzburg-Landau equation

Abstract

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.

5 pages

References in corpus (2)

• Regularity theory for fully nonlinear integro-differential equations
• On nonlocal nonlinear elliptic problem with the fractional Laplacian