Strichartz estimates with broken symmetries

被引：1
|
作者：
Goncalves, Felipe [1 ]
Zagier, Don [2 ,3 ]
机构：
[1] Hausdorff Ctr Math, Endenicher Allee 60, D-53115 Bonn, Germany
[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
[3] Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2022年 / 38卷 / 05期
关键词：
Strichartz; parity; broken symmetries; Fourier restriction;
D O I：
10.4171/RMI/1322
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we study the eigenvalue problem for a quadratic form asso-ciated with Strichartz estimates for the Schrodinger equation, proving in particular a sharp Strichartz inequality for the case of odd initial data. We also describe an alternative method that is applicable to a wider class of matrix problems.
引用
收藏
页码：1709 / 1722
页数：14
相关论文
共 50 条
  • [21] On inhomogeneous Strichartz estimates for the Schrodinger equation
    Lee, Sanghyuk
    Seo, Ihyeok
    REVISTA MATEMATICA IBEROAMERICANA, 2014, 30 (02) : 711 - 726
  • [22] On bilinear Strichartz estimates on waveguides with applications
    Deng, Yangkendi
    Fan, Chenjie
    Yang, Kailong
    Zhao, Zehua
    Zheng, Jiqiang
    JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 287 (09)
  • [23] Inhomogeneous Strichartz estimates for the Schrodinger equation
    Vilela, M. C.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (05) : 2123 - 2136
  • [24] Strichartz estimates in the frame of modulation spaces
    Zhang, Chunjie
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 78 : 156 - 167
  • [25] BROKEN SYMMETRIES OF BIOMOLECULES
    MISHRA, S
    MISRA, HP
    BIOPHYSICAL JOURNAL, 1987, 51 (02) : A96 - A96
  • [26] SPONTANEOUSLY BROKEN SYMMETRIES
    PEIERLS, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (22): : 5273 - 5281
  • [27] Spontaneously broken symmetries
    Narnhofer, H
    Thirring, W
    ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1999, 70 (01): : 1 - 21
  • [28] Strichartz estimates on the quaternion Heisenberg group
    Song, Naiqi
    Zhao, Jiman
    BULLETIN DES SCIENCES MATHEMATIQUES, 2014, 138 (02): : 293 - 315
  • [29] Broken symmetries and RPA
    Scuseria, Gustavo E.
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2013, 245
  • [30] GEOMETRY OF BROKEN SYMMETRIES
    YODZIS, P
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1970, 68 (02): : 153 - &
12345