Uniqueness and stability of ground states for some nonlinear Schrodinger equations

被引：0

作者：

Stuart, CA ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, FSB, IACS, Stn 8, CH-1015 Lausanne, Switzerland

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2006年 / 8卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the orbital stability of standing waves of a class of nonlinear Schrodinger equations in one space dimension. The crucial feature for our treatment is the presence of a non-constant linear potential that is even and decreasing away from the origin in space. This enables us to establish the orbital stability of all ground states over the whole range of frequencies for which such solutions exist.

引用

页码：399 / 414

页数：16

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