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arXiv:2303.16269 [math.AP]AbstractReferencesReviewsResources

Scattering for the defocusing NLS on the line with variable coefficients

Piero D'Ancona, Angelo Zanni

Published 2023-03-28Version 1

We prove $H^{1}$ scattering for a defocusing NLS on the line with fully variable coefficients. The result is proved by adapting the Kenig--Merle scheme to a non translation invariant setting. In addition, we give an abstract version of the scheme which can be applied to other operators.

Categories: math.AP
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