周期广义KdV方程的修正能量及其应用

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2021-07-05 DOI:10.4171/aihpc/62

F. Planchon, N. Tzvetkov, N. Visciglia

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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。

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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

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.