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Weakly-damped focusing nonlinear Schrödinger equations with Dirichlet control

✍ Scribed by Türker Özsarı


Book ID
113721748
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
193 KB
Volume
389
Category
Article
ISSN
0022-247X

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✍ 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