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

页码：3489 / 3529

页数：41

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