Bounded Sobolev Norms for Linear Schrödinger Equations Under Resonant Perturbations

Details Bounded Sobolev Norms for Linear Schrödinger Equations Under Resonant Perturbations Bounded Sobolev Norms for Linear Schrödinger Equations Under Resonant Perturbations

2008-05-24

arxiv.org/abs/0805.3767v1

J. Func. Anal. 254, 2926-2946 (2008)

Mathematics

Spectral Theory

Scientific paper

We prove that the Sobolev norm for a 1-D periodic Schroedinger equation
remain bounded under small resonant perturbations.

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