论文标题

加权Sobolev空间中衍生品非线性schrödinger方程的解决方案的持久性

Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces

论文作者

Castro, Alejandro J., Jabbarkhanov, Khumoyun, Kassimbekov, Azamat

论文摘要

在本文中,我们显示了衍生品非线性schrödinger方程解决方案的持久性属性,并在加权sobolev spaces中具有初始数据$ h^{2}(\ mathbb {r})\ cap l^2(| x | x |^|^{2r} dx)dx dx)$,$ r \ in($ r \ in(0,1,1] $。

In this paper we show the persistence property for solutions of the derivative nonlinear Schrödinger 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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