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Global attractor for the weakly damped driven Schrödinger equation in $ H^2 (mathbb{R}) $

✍ Scribed by Nikos I. Karachalios; Nikos M. Stavrakakis


Publisher
SP Birkhäuser Verlag Basel
Year
2002
Tongue
English
Weight
204 KB
Volume
9
Category
Article
ISSN
1021-9722

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Regularity of the attractor for a weakly
✍ N. Akroune 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 155 KB

We study the long time behaviour of the solutions to a nonlinear Schr6dinger equation, in presence of a damping term, and a forcing term, when the space variable x varies over R. We show that the long time behaviour is described by an attractor which captures all the trajectories in H 1 (R). Our mai