High-Frequency Dynamics for the Schrödinger Equation, with Applications to Dispersion and Observability
Author:
Publisher
Springer International Publishing
Link
http://link.springer.com/content/pdf/10.1007/978-3-319-19015-0_4
Reference126 articles.
1. N. Anantharaman, C. Fermanian-Kammerer, F. Macià, Semiclassical completely integrable systems: long-time dynamics and observability via two-microlocal Wigner measures. Amer. J. Math. 137(3), 577–638 (2015)
2. S. Alinhac, P. Gérard, Pseudo-Differential Operators and the Nash-Moser Theorem. Graduate Studies in Mathematics, vol. 82 (American Mathematical Society, Providence, RI, 2007) [Translated from the 1991 French original by Stephen S. Wilson]
3. T. Aïssiou, Semiclassical limits of eigenfunctions on flat n-dimensional tori. Can. Math. Bull. 56(1), 3–12 (2013)
4. T. Aïssiou, D. Jakobson, F. Macià, Uniform estimates for the solutions of the Schrödinger equation on the torus and regularity of semiclassical measures. Math. Res. Lett. 19(3), 589–599 (2012)
5. N. Anantharaman, M. Léautaud, Sharp polynomial decay rates for the damped wave equation on the torus. Anal. PDE 7(1), 159–214 (2014)
Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Effective Mass Theorems with Bloch Modes Crossings;Archive for Rational Mechanics and Analysis;2022-07-13
2. Geometric Control of Eigenfunctions of Schrödinger Operators;Research in PDEs and Related Fields;2022
3. Observability and controllability for the Schrödinger equation on quotients of groups of Heisenberg type;Journal de l’École polytechnique — Mathématiques;2021-09-03
4. Observability Results Related to Fractional Schrödinger Operators;Vietnam Journal of Mathematics;2021-05-16
5. Wigner measures and effective mass theorems;Annales Henri Lebesgue;2020-09-11
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3