Bounded Sobolev Norms for Linear Schr\"odinger Equations Under Resonant Perturbations
classification
🧮 math.SP
math-phmath.MP
keywords
boundedperturbationsresonantsobolevunderequationequationslinear
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We prove that the Sobolev norm for a 1-D periodic Schroedinger equation remain bounded under small resonant perturbations.
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