### Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in $\mathbb{R}^2$

Olivier Goubet

#### Abstract

We prove that the global attractor for a weakly damped nonlinear Schrödinger equation in a suitable energy space is in fact included and compact in a more regular energy space.

#### Article information

Source
Adv. Differential Equations, Volume 3, Number 3 (1998), 337-360.

Dates
First available in Project Euclid: 19 April 2013

Goubet, Olivier. Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in $\mathbb{R}^2$. Adv. Differential Equations 3 (1998), no. 3, 337--360. https://projecteuclid.org/euclid.ade/1366399845