Global attractor for a one dimensional weakly damped half-wave equation

Abstract

We discuss the asymptotic behavior of the solutions for the fractional nonlinear Schrödinger equation that reads ut − iDu + ig(|u| 2)u + γu = f .

Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations

“…Thanks to Theorem 8.5 in [24], the proof follows by using interpolation argument between H 1 2 and H 1 . We refer the reader to [3] for a simple proof.…”