The Calogero–Moser derivative nonlinear Schrödinger equation

IF 3.1 1区数学 Q1 MATHEMATICS

Communications on Pure and Applied Mathematics Pub Date : 2024-05-06 DOI:10.1002/cpa.22203

Patrick Gérard, Enno Lenzmann

引用次数: 0

Abstract

We study the Calogero–Moser derivative nonlinear Schrödinger NLS equation

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卡洛吉罗-莫泽导数非线性薛定谔方程

我们研究了在哈代-索博廖夫空间（Hardy-Sobolev space）上用合适的......通过对这一临界方程使用拉克斯对结构，我们证明了该方程的全局好求性，以及具有亚临界或临界质量的初始数据。此外，我们还证明了地面状态的唯一性，并对所有行进孤波进行了分类。最后，我们详细研究了多孤子解，并证明它们在以下强意义上表现出能量级联，即对于每 .

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

Communications on Pure and Applied Mathematics 数学-数学

CiteScore

6.70

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： Communications on Pure and Applied Mathematics (ISSN 0010-3640) is published monthly, one volume per year, by John Wiley & Sons, Inc. © 2019. The journal primarily publishes papers originating at or solicited by the Courant Institute of Mathematical Sciences. It features recent developments in applied mathematics, mathematical physics, and mathematical analysis. The topics include partial differential equations, computer science, and applied mathematics. CPAM is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included.