On the Trace-Class Property of Hankel Operators Arising in the Theory of the Korteweg–de Vries Equation
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1134/S0001434618090067.pdf
Reference30 articles.
1. A. Rybkin, “The Hirota τ–function and well–posedness of the KdV equation with an arbitrary step–like initial profile decaying on the right half line,” Nonlinearity 24 (10), 2953–2990 (2011).
2. V. A. Marchenko, “Nonlinear Equations and Operator Algebras,” in Math. Appl. (Soviet Ser.) (D. Reidel Publ., Dordrecht, 1988), Vol. 17.
3. A. Volberg and P. Yuditskii, “On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of the intervals or a Cantor set of positive length,” Comm. Math. Phys. 226 (3), 567–605 (2002).
4. L. Golinskii, A. Kheifets, F. Peherstorfer, and P. Yuditskii, “Scattering theory for CMV matrices: uniqueness, Helson–SzegŐ and strong SzegŐ theorems,” Integral Equations Operator Theory 69 (4), 479–508 (2011).
5. S. Grudsky and A. Rybkin, “Soliton theory and Hakel operators,” SIAM J. Math. Anal. 47 (3), 2283–2323 (2015).
Cited by 3 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. Realization of the inverse scattering transform method for the Korteweg–de Vries equation;Mathematical Methods in the Applied Sciences;2023-01-25
2. Invertibility Issues for Toeplitz Plus Hankel Operators and Their Close Relatives;Operator Theory, Functional Analysis and Applications;2021
3. On classical solutions of the KdV equation;Proceedings of the London Mathematical Society;2020-04-04
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