Publication: Scattering-like phenomena of the periodic defocusing nls equation
Scattering-like phenomena of the periodic defocusing nls equation
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Kappeler, T., Schaad, B., & Topalov, P. (2017). Scattering-like phenomena of the periodic defocusing nls equation. Mathematical Research Letters, 24, 803–826. https://doi.org/10.4310/MRL.2017.v24.n3.a9
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In this paper we prove approximation properties of the solutions of the defocusing 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 Hs with s≥1 remain bounded for all times.
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- Kappeler, Thomas
- Schaad, B
- Topalov, P
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Kappeler, T., Schaad, B., & Topalov, P. (2017). Scattering-like phenomena of the periodic defocusing nls equation. Mathematical Research Letters, 24, 803–826. https://doi.org/10.4310/MRL.2017.v24.n3.a9
