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

页码：89 / 106

页数：18

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