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arXiv · 1505.07394

Scattering-like phenomena of the periodic defocusing NLS equation

T. Kappeler·B. Schaad·P. Topalov
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Abstract

In this paper we prove approximation properties of the solutions of the defoucsing NLS equation on the circle by nearly linear flows. In addition we show that spatially periodic solutions of the defocusing NLS equation evolving in fractional Sobolev spaces $H^s$ with $s\geq 1$ remain bounded for all times.

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T. Kappeler, B. Schaad, P. Topalov. 2015-05-27. Scattering-like phenomena of the periodic defocusing NLS equation. https://arxiv.org/abs/1505.07394

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