关于$\mathbb｛T｝$上的Benjamin–Ono方程及其周期和拟周期解

IF 1 3区数学 Q1 MATHEMATICS

Journal of Spectral Theory Pub Date : 2021-03-16 DOI:10.4171/jst/398

P. G'erard, T. Kappeler, P. Topalov

引用次数: 6

摘要

在本文中，我们考察了最近关于环面上Benjamin Ono方程的结果。作为所发展方法的一个应用，我们构造了周期或拟周期解的大族，它们不是C∞-光滑的。

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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On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions

In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasiperiodic solutions, which are not C∞-smooth.

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来源期刊

Journal of Spectral Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Spectral Theory is devoted to the publication of research articles that focus on spectral theory and its many areas of application. Articles of all lengths including surveys of parts of the subject are very welcome. The following list includes several aspects of spectral theory and also fields which feature substantial applications of (or to) spectral theory. Schrödinger operators, scattering theory and resonances; eigenvalues: perturbation theory, asymptotics and inequalities; quantum graphs, graph Laplacians; pseudo-differential operators and semi-classical analysis; random matrix theory; the Anderson model and other random media; non-self-adjoint matrices and operators, including Toeplitz operators; spectral geometry, including manifolds and automorphic forms; linear and nonlinear differential operators, especially those arising in geometry and physics; orthogonal polynomials; inverse problems.