论加权索波列夫空间中具有低分散性的分式 BBM 方程的持续特性

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-09-04 DOI:10.1016/j.na.2024.113653

Germán Fonseca, Oscar Riaño, Guillermo Rodriguez-Blanco

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引用次数: 0

摘要

我们考虑了与低分散分式本杰明-博纳-马霍尼方程（fBBM）相关的初值问题。我们的目的是在加权索波列夫空间中建立局部持久性结果，并获得唯一的延续结果，这意味着上述结果是尖锐的。因此，fBBM 流不会保留任意多项式衰变。

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On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces

We consider the initial value problem associated to the low dispersion fractionary Benjamin–Bona–Mahony equation, fBBM. Our aim is to establish local persistence results in weighted Sobolev spaces and to obtain unique continuation results that imply that those results above are sharp. Hence, arbitrary polynomial type decay is not preserved by the fBBM flow.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.