Scattering-like phenomena of the periodic defocusing NLS equation
classification
🧮 math.AP
keywords
equationdefocusingperiodicsolutionsadditionapproximationboundedcircle
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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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