Modified energies for the periodic generalized KdV equation and applications

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

Abstract

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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周期广义KdV方程的修正能量及其应用

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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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

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