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 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.