NONLINEAR WAVES ON 3D HYPERBOLIC SPACE

被引：24
|
作者：
Metcalfe, Jason [1 ]
Taylor, Michael [1 ]
机构：
[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 363卷 / 07期
基金：
美国国家科学基金会;
关键词：
SCHRODINGER-EQUATION; SCATTERING;
D O I：
10.1090/S0002-9947-2011-05122-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, global-in-time dispersive estimates and Strichartz estimates are explored for the wave equation on three dimensional hyperbolic space. Due to the negative curvature, extra dispersion is noted, as compared to the Euclidean case, and a wider range of Strichartz estimates is proved. Using these, small data global existence to semilinear wave equations is shown for a range of powers that is broader than that known for Euclidean space.
引用
收藏
页码：3489 / 3529
页数：41
相关论文
共 50 条
  • [21] Nonlinear dynamics of the 3D Alfven waves in plasma of ionosphere and magnetosphere
    Belashov, Vasily Yu.
    Belashova, Elena S.
    JOURNAL OF ATMOSPHERIC AND SOLAR-TERRESTRIAL PHYSICS, 2015, 136 : 150 - 154
  • [22] Numerical modeling of 3D fully nonlinear potential periodic waves
    Chalikov, Dmitry
    Babanin, Alexander V.
    Sanina, Elena
    OCEAN DYNAMICS, 2014, 64 (10) : 1469 - 1486
  • [23] 3D hyperbolic Voronoi diagrams
    Nilforoushan, Z.
    Mohades, A.
    Rezaii, M. M.
    Laleh, A.
    COMPUTER-AIDED DESIGN, 2010, 42 (09) : 759 - 767
  • [24] Source generation of fully nonlinear waves in NWT with a 3D HOBEM
    Teng, Bin
    Ning, Dezhi
    PROCEEDINGS OF THE SEVENTH (2006) ISOPE PACIFIC/ASIA OFFSHORE MECHANICS SYMPOSIUM (ISOPE PACOMES-2006), 2006, : 198 - +
  • [25] Experimental investigation of 3D shock waves on nonlinear acoustical vortices
    Brunet, Thomas
    Thomas, Jean-Louis
    Marchiano, Regis
    Coulouvrat, Francois
    INTERNATIONAL CONGRESS ON ULTRASONICS, PROCEEDINGS, 2010, 3 (01): : 905 - 911
  • [26] Exploring space separation techniques for 3D elastic waves simulations
    Dimitri Goutaudier
    Laurent Berthe
    Francisco Chinesta
    Computational Mechanics, 2022, 69 : 1147 - 1163
  • [27] Exploring space separation techniques for 3D elastic waves simulations
    Goutaudier, Dimitri
    Berthe, Laurent
    Chinesta, Francisco
    COMPUTATIONAL MECHANICS, 2022, 69 (05) : 1147 - 1163
  • [28] The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping
    Wang, Han
    Zhang, Yinghui
    ACTA MATHEMATICA SCIENTIA, 2024, 44 (03) : 1064 - 1095
  • [29] Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping
    Zhang, Yinghui
    APPLICABLE ANALYSIS, 2019, 98 (11) : 2048 - 2063
  • [30] The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping
    Han Wang
    Yinghui Zhang
    Acta Mathematica Scientia, 2024, 44 : 1064 - 1095
12345