Scattering for the Zakharov System in 3 Dimensions

被引：0
|
作者：
Zaher Hani
Fabio Pusateri
Jalal Shatah
机构：
[1] New York University,Courant Institute of Mathematical Sciences
[2] Princeton University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2013年 / 322卷
关键词：
Cauchy Problem; Decay Estimate; Wave Operator; Wave Component; Langmuir Wave;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t−1, whereas the Schrödinger component decays almost at a rate of t−7/6.
引用
收藏
页码：731 / 753
页数：22
相关论文
共 50 条
  • [1] Scattering for the Zakharov System in 3 Dimensions
    Hani, Zaher
    Pusateri, Fabio
    Shatah, Jalal
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 322 (03) : 731 - 753
  • [2] SCATTERING FOR QUANTUM ZAKHAROV SYSTEM IN TWO SPACE DIMENSIONS
    Segata, Jun-Ichi
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (08) : 3367 - 3379
  • [3] WELL-POSEDNESS AND SCATTERING FOR THE ZAKHAROV SYSTEM IN FOUR DIMENSIONS
    Bejenaru, Ioan
    Guo, Zihua
    Herr, Sebastian
    Nakanishi, Kenji
    ANALYSIS & PDE, 2015, 8 (08): : 2029 - 2055
  • [4] Global Existence and Scattering of the Klein–Gordon–Zakharov System in Two Space Dimensions
    Shijie Dong
    Yue Ma
    Peking Mathematical Journal, 2025, 8 (1) : 1 - 40
  • [5] Zakharov system in two space dimensions
    Ozawa, Tohru
    Tomioka, Kenta
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 214
  • [6] SCATTERING AND WELL-POSEDNESS FOR THE ZAKHAROV SYSTEM AT A CRITICAL SPACE IN FOUR AND MORE SPATIAL DIMENSIONS
    Kato, Isao
    Tsugawa, Kotaro
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2017, 30 (9-10) : 763 - 794
  • [7] Generalized Strichartz Estimates and Scattering for 3D Zakharov System
    Guo, Zihua
    Lee, Sanghyuk
    Nakanishi, Kenji
    Wang, Chengbo
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 331 (01) : 239 - 259
  • [8] Generalized Strichartz Estimates and Scattering for 3D Zakharov System
    Zihua Guo
    Sanghyuk Lee
    Kenji Nakanishi
    Chengbo Wang
    Communications in Mathematical Physics, 2014, 331 : 239 - 259
  • [9] SCATTERING FOR 3D QUANTUM ZAKHAROV SYSTEM IN L2
    Huang, Chunyan
    Guo, Boling
    Heng, Yi
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021, 19 (02) : 383 - 404
  • [10] Scattering data computation for the Zakharov-Shabat system
    L. Fermo
    C. van der Mee
    S. Seatzu
    Calcolo, 2016, 53 : 487 - 520
12345