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arXiv · 2203.13715

The Nonlinear Schr\"odinger-Airy equation in weighted Sobolev spaces

Alejandro J. Castro·Khumoyun Jabbarkhanov·Lyailya Zhapsarbayeva
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Abstract

We study the persistence property of the solution for the nonlinear Schr\"odinger-Airy equation with initial data in the weighted Sobolev space $H^{1/4}(\mathbb{R})\cap L^2(|x|^{2m}dx)$, $0<m \leq 1/8$, via the contraction principle.

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Alejandro J. Castro, Khumoyun Jabbarkhanov, Lyailya Zhapsarbayeva. 2022-03-25. The Nonlinear Schr\"odinger-Airy equation in weighted Sobolev spaces. https://doi.org/10.1016/j.na.2022.113068

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