Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
Author:
Publisher
Duke University Press
Subject
General Mathematics
Reference28 articles.
1. B. Birnir, C. E. Kenig, G. Ponce, N. Svanstedt, and L. Vega, On the ill-posedness of the IVP for the generalized Korteweg --.de Vries and nonlinear Schrödinger equations, J. London Math. Soc. (2) 53 (1996), 551--559.
2. B. Birnir, G. Ponce, and N. Svanstedt, The local ill-posedness of the modified KdV equation, Ann. Inst. H. Poinicaré Anal. Non Linéaire 13 (1996), 529--535.
3. J. L. Bona and R. Smith, The initial-value problem for the Korteweg --.de Vries equation, Philos. Trans. Roy. Soc. London Ser. A 278 (1975), 555--601.
4. J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, I: Schrödinger equations, Geom. Funct. Anal. 3 (1993), 107--156.
5. --. --. --. --., Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, II: The KdV equation, Geom. Funct. Anal. 3 (1993), 209--262.
Cited by 67 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. Low regularity well-posedness of KP-I equations: The three-dimensional case;Journal of Functional Analysis;2024-02
2. Well-Posedness of the Kadomtsev–Petviashvili-II in the Negative Sobolev Space with Respect to y Direction;The Journal of Geometric Analysis;2024-01-19
3. Regularity Results on the Flow Maps of Periodic Dispersive Burgers Type Equations and the Gravity–Capillary Equations;Water Waves;2023-08-01
4. Low regularity well-posedness for KP-I equations: the dispersion-generalized case;Nonlinearity;2023-07-07
5. The IVP for a periodic generalized ZK equation;Journal of Differential Equations;2023-04
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