Existence and stability of solitons for the nonlinear Schrodinger equation on hyperbolic space

被引：19
|
作者：
Christianson, Hans [1 ]
Marzuola, Jeremy L. [2 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] Columbia Univ, Dept Appl Math, New York, NY 10027 USA
来源：
NONLINEARITY | 2010年 / 23卷 / 01期
基金：
美国国家科学基金会;
关键词：
CONCENTRATION-COMPACTNESS PRINCIPLE; KLEIN-GORDON EQUATIONS; STANDING WAVES; GROUND-STATE; SCATTERING; CALCULUS;
D O I：
10.1088/0951-7715/23/1/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence and stability of ground state solutions or solitons to a nonlinear stationary equation on hyperbolic space. The method of concentration compactness applies and shows that the results correlate strongly to those of Euclidean space.
引用
收藏
页码：89 / 106
页数：18
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