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Attractors for discrete nonlinear Schrödinger equation with delay

✍ Scribed by Tao Chen; Sheng-fan Zhou; Cai-di Zhao


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
209 KB
Volume
26
Category
Article
ISSN
0168-9673

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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