Uniqueness and stability of ground states for some nonlinear Schrödinger equations
Uniqueness and stability of ground states for some nonlinear Schrödinger equations
复制标题
DOI：
10.4171/jems/60
复制
发表时间：
2006-06
影响因子：
2.6
通讯作者：
C. Stuart
中科院分区：
文献类型：
--
作者：
C. Stuart
讨论了一维空间中一类非线性薛定谔方程驻波的轨道稳定性。我们治疗的关键特征是存在一个非常恒定的线性势能，它在太空中远离原点是均匀的和递减的。这使我们能够在存在这种解的整个频率范围内确定所有基态的轨道稳定性。
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.