一维NLS的Sobolev概周期不变环面构造注记

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-02-15 DOI:10.4171/rlm/923

Luca Biasco, Jessica Elisa Massetti, Michela Procesi

引用次数: 0

摘要

给出了一维解析NLS在时间和空间上仅具有Sobolev正则性的概周期解的构造方法。这是pde的第一个此类结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS

We announce a method for the construction of almost periodic solutions of the one dimensional analytic NLS with only Sobolev regularity both in time and space. This is the first result of this kind for PDEs.

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.