Scattering for the defocusing NLS on the line with variable coefficients

Piero D'Ancona; Angelo Zanni

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arXiv · 2303.16269

Scattering for the defocusing NLS on the line with variable coefficients

Piero D'Ancona·Angelo Zanni

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Abstract

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.

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Piero D'Ancona, Angelo Zanni. 2023-03-28. Scattering for the defocusing NLS on the line with variable coefficients. https://arxiv.org/abs/2303.16269

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