周期广义KdV方程的修正能量及其应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-07-05 DOI:10.4171/aihpc/62

F. Planchon, N. Tzvetkov, N. Visciglia

引用次数: 3

摘要

我们构造广义KdV方程的修正能量。因此，我们得到了高阶高斯测度的拟不变性以及相应RadonNykodim密度上的L正则性，以及解的Sobolev范数增长的新界。

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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Modified energies for the periodic generalized KdV equation and applications

We construct modified energies for the generalized KdV equation. As a consequence, we obtain quasi-invariance of the high order Gaussian measures along with L regularity on the corresponding RadonNykodim density, as well as new bounds on the growth of the Sobolev norms of the solutions.

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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.