• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

关于广义不定弦的绝对连续谱

On the Absolutely Continuous Spectrum of Generalized Indefinite Strings.

作者信息

Eckhardt Jonathan, Kostenko Aleksey

机构信息

Department of Mathematical Sciences, Loughborough University, Epinal Way, Loughborough, Leicestershire LE11 3TU UK.

Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria.

出版信息

Ann Henri Poincare. 2021;22(11):3529-3564. doi: 10.1007/s00023-021-01072-x. Epub 2021 Jun 11.

DOI:10.1007/s00023-021-01072-x
PMID:34720693
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8550036/
Abstract

We investigate absolutely continuous spectrum of generalized indefinite strings. By following an approach of Deift and Killip, we establish stability of the absolutely continuous spectra of two model examples of generalized indefinite strings under rather wide perturbations. In particular, one of these results allows us to prove that the absolutely continuous spectrum of the isospectral problem associated with the conservative Camassa-Holm flow in the dispersive regime is essentially supported on the interval .

摘要

我们研究广义不定弦的绝对连续谱。通过遵循戴夫特（Deift）和基利普（Killip）的方法，我们在相当广泛的扰动下建立了广义不定弦的两个模型示例的绝对连续谱的稳定性。特别地，这些结果之一使我们能够证明，在色散 regime 中与保守的卡马萨 - 霍尔姆（Camassa-Holm）流相关的等谱问题的绝对连续谱基本上支撑在区间 上。

相似文献

1
On the Absolutely Continuous Spectrum of Generalized Indefinite Strings.关于广义不定弦的绝对连续谱
Ann Henri Poincare. 2021;22(11):3529-3564. doi: 10.1007/s00023-021-01072-x. Epub 2021 Jun 11.
2
Modulational instability in the full-dispersion Camassa-Holm equation.全色散Camassa-Holm方程中的调制不稳定性。
Proc Math Phys Eng Sci. 2017 Jul;473(2203):20170153. doi: 10.1098/rspa.2017.0153. Epub 2017 Jul 19.
3
Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type.赫格洛茨 - 内万林纳函数的连分数展开式与斯蒂尔杰斯型广义不定弦。
Bull Lond Math Soc. 2022 Apr;54(2):737-759. doi: 10.1112/blms.12598. Epub 2022 Mar 30.
4
The string density problem and the Camassa-Holm equation.
Philos Trans A Math Phys Eng Sci. 2007 Sep 15;365(1858):2299-312. doi: 10.1098/rsta.2007.2010.
5
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy.卡马斯-霍尔姆层级的实值代数几何解。
Philos Trans A Math Phys Eng Sci. 2008 Mar 28;366(1867):1025-54. doi: 10.1098/rsta.2007.2060.
6
Exponential decay of H1-localized solutions and stability of the train of N solitary waves for the Camassa-Holm equation.Camassa-Holm方程中H1局部化解的指数衰减及N个孤立波列的稳定性
Philos Trans A Math Phys Eng Sci. 2007 Sep 15;365(1858):2313-31. doi: 10.1098/rsta.2007.2011.
7
On the Expected Values of Sequences of Functions.论函数序列的期望值。
Commun Stat Theory Methods. 2001 Jan 1;30(2). doi: 10.1081/STA-100002037.
8
Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations.简单方程法（SEsM）：一种获取非线性微分方程精确解的有效算法。
Entropy (Basel). 2022 Nov 14;24(11):1653. doi: 10.3390/e24111653.
9
Input-to-state stability of time-varying nonlinear discrete-time systems via indefinite difference Lyapunov functions.时变非线性离散时间系统的不定差分 Lyapunov 函数输入状态稳定性。
ISA Trans. 2018 Jun;77:71-76. doi: 10.1016/j.isatra.2018.03.022. Epub 2018 Apr 10.
10
Fundamentals of a fuzzy-logic-based generalized theory of stability.基于模糊逻辑的广义稳定性理论基础
IEEE Trans Syst Man Cybern B Cybern. 2009 Aug;39(4):971-88. doi: 10.1109/TSMCB.2008.2010523. Epub 2009 Mar 24.

本文引用的文献

1
An integrable shallow water equation with peaked solitons.一个具有尖峰孤子的可积浅水方程。
Phys Rev Lett. 1993 Sep 13;71(11):1661-1664. doi: 10.1103/PhysRevLett.71.1661.