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Regularity of the Rotation Number for the One-Dimensional Time-Continuous Schrödinger Equation

✍ Scribed by Sana Hadj Amor


Book ID
118806364
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
351 KB
Volume
15
Category
Article
ISSN
1385-0172

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Regularity of the attractor for Schrödin
✍ O. Goubet 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 154 KB

We prove that the global attractor for a weakly damped nonlinear Schr6dinger equation is smooth, i.e., it is made of smooth functions when the forcing term is smooth. Our study relies on a new approach that works for dispersive equations that are weakly dissipative, i.e., for equations for which the