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arXiv · 2212.05379

Persistence of solutions to the Derivative Nonlinear Schr\"odinger equation in weighted Sobolev spaces

Alejandro J. Castro·Khumoyun Jabbarkhanov·Azamat Kassimbekov
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Abstract

In this paper we show the persistence property for solutions of the derivative nonlinear Schr\"odinger equation with initial data in weighted Sobolev spaces $H^{2}(\mathbb{R})\cap L^2(|x|^{2r}dx)$, $r\in (0,1]$.

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Alejandro J. Castro, Khumoyun Jabbarkhanov, Azamat Kassimbekov. 2022-12-11. Persistence of solutions to the Derivative Nonlinear Schr\"odinger equation in weighted Sobolev spaces. https://arxiv.org/abs/2212.05379

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