Boundeness of solutions to Fractional Laplacian Ginzburg-Landau equation
Li Ma
TL;DR
This paper investigates the boundedness of solutions to the nonlinear fractional Laplacian Ginzburg-Landau equation, extending Brezis's theorem, and also examines a related linear fractional Schrödinger equation.
Contribution
It extends Brezis's theorem to the nonlinear fractional Laplacian Ginzburg-Landau equation and analyzes a related linear fractional Schrödinger equation.
Findings
Solutions to the fractional Ginzburg-Landau equation are bounded.
Extension of Brezis's theorem to nonlinear fractional Laplacian equations.
Analysis of a related linear fractional Schrödinger 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.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics · Nonlinear Differential Equations Analysis