色散广义Benjamin—Ono和Benjamin—Ono方程解的衰减

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-04-05 DOI:10.57262/ade027-1112-781

Alysson Cunha

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引用次数: 1

摘要

．我们证明了关于KdV和Schr¨odinger方程([7]，[28])的唯一性结果，不适用于分配s和r的加权Sobolev空间中的色散广义benjamin - ono方程。特别地，我们得到了对于弥散广义- Benjamin-Ono方程([13])所证明的唯一性结果，并不是对u 16 = 0和u 26 = 0的所有解对都成立。为了达到这些结果，我们采用了我们最近的工作[6]中的技术。我们还改进了关于色散广义Benjamin-Ono方程和Benjamin-Ono方程([13]，[12])的定理。

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On decay of the solutions for the dispersion generalized Benjamin--Ono and Benjamin--Ono equations

. We show that uniqueness results of the kind those obtained for KdV and Schr¨odinger equations ([7], [28]), are not valid for the dispersion generalized-Benjamin-Ono equation in the weighted Sobolev spaces for appropriated s and r . In particular, we obtain that the uniqueness result proved for the dispersion generalized- Benjamin-Ono equation ([13]), is not true for all pairs of solutions u 1 6 = 0 and u 2 6 = 0. To achieve these results we employ the techniques present in our recent work [6]. We also improve some Theorems established for the dispersion generalized-Benjamin-Ono equation and for the Benjamin-Ono equation ([13], [12]).

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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.