On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials

Author:

Eliasson Håkan L.,Kuksin Sergei B.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference8 articles.

1. Bambusi D., Graffi S.: Time quasi-periodic unbounded perturbations of Shrödinger operators and KAM method. Commun. Math. Phys. 219(2), 465–480 (2001)

2. Bogoliubov, N., Mitropolsky, Yu., Samoilenko, A.: The method of rapid convergence in nonlinear mechanics. Kiev: Naukova Dumka, 1969 (Russian); English translation: Berlin-Heidelberg-New York: Springer Verlag, 1976

3. Bourgain J.: Growth of Sobolev norms in linear Schrödinger equation with quasi-periodic potential. Commun. Math. Phys. 204, 207–247 (1999)

4. Bourgain J.: On growth of Sobolev norms in linear Schrödinger equation with time dependent potential. J. Anal. Math. 77, 315–348 (1999)

5. Eliasson, H.L., Kuksin, S.B.: KAM for the non-linear Schrödinger equation. Annals of Mathematics, to appear, see http://annals.math.princeton.edu/issues/2007/FinalFiles/EliassonKuksinFinal.pdf ., 2007

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