有理正则表达式中小除数的精确全局控制 *

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED Nonlinearity Pub Date : 2024-05-30 DOI:10.1088/1361-6544/ad4cd2

Jianjun Liu and Duohui Xiang

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引用次数: 0

摘要

有理正则表达式是处理无外部参数哈密顿偏微分方程的有力工具。在本文中，我们建立了精确全局控制小除数的有理正则表达式。作为 Gevrey 空间中非线性薛定谔方程的应用，我们证明了一般小初始数据的亚指数长时间稳定性结果。

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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Exact global control of small divisors in rational normal form *

Rational normal form is a powerful tool to deal with Hamiltonian partial differential equations without external parameters. In this paper, we build rational normal form with exact global control of small divisors. As an application to nonlinear Schrödinger equations in Gevrey spaces, we prove sub-exponentially long time stability results for generic small initial data.

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来源期刊

Nonlinearity 物理-物理：数学物理

CiteScore

3.00

自引率

5.90%

发文量

170

审稿时长

12 months

期刊介绍： Aimed primarily at mathematicians and physicists interested in research on nonlinear phenomena, the journal''s coverage ranges from proofs of important theorems to papers presenting ideas, conjectures and numerical or physical experiments of significant physical and mathematical interest. Subject coverage: The journal publishes papers on nonlinear mathematics, mathematical physics, experimental physics, theoretical physics and other areas in the sciences where nonlinear phenomena are of fundamental importance. A more detailed indication is given by the subject interests of the Editorial Board members, which are listed in every issue of the journal. Due to the broad scope of Nonlinearity, and in order to make all papers published in the journal accessible to its wide readership, authors are required to provide sufficient introductory material in their paper. This material should contain enough detail and background information to place their research into context and to make it understandable to scientists working on nonlinear phenomena. Nonlinearity is a journal of the Institute of Physics and the London Mathematical Society.

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