We define and describe the class of quasi-Toplitz functions. We then prove an abstract KAM theorem where the perturbation is in this class. We apply this theorem to a nonlinear Schrodinger equation on the torus T-d, thus proving existence and stability of quasi-periodic solutions.
Michela Procesi, & Xindong Xu (2013). Quasi-töplitz functions in KAM theorem. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 45(4), 2148-2181.
Titolo: | Quasi-töplitz functions in KAM theorem |
Autori: | |
Data di pubblicazione: | 2013 |
Rivista: | |
Citazione: | Michela Procesi, & Xindong Xu (2013). Quasi-töplitz functions in KAM theorem. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 45(4), 2148-2181. |
Abstract: | We define and describe the class of quasi-Toplitz functions. We then prove an abstract KAM theorem where the perturbation is in this class. We apply this theorem to a nonlinear Schrodinger equation on the torus T-d, thus proving existence and stability of quasi-periodic solutions. |
Handle: | http://hdl.handle.net/11590/139465 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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