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.
Quasi-töplitz functions in KAM theorem / Procesi, Michela; Xindong, Xu. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 45:4(2013), pp. 2148-2181. [10.1137/110833014]
Quasi-töplitz functions in KAM theorem
PROCESI, Michela;
2013
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.File allegati a questo prodotto
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