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Ergodicity for a weakly damped stochastic non-linear Schrödinger equation

✍ Scribed by Arnaud Debussche; Cyril Odasso


Publisher
Springer
Year
2005
Tongue
English
Weight
285 KB
Volume
5
Category
Article
ISSN
1424-3199

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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