论文标题
具有内部模式的非线性schrödinger方程基态的中心稳定歧管
Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes
论文作者
论文摘要
我们研究了不稳定基态附近的非线性Schrödinger方程解决方案的动力学。事实证明，围绕地面状态的局部中心稳定歧管的存在以及歧管上解决方案的渐近稳定性已被证明。我们结果的新颖性是我们允许存在内部模式。
We study the dynamics of solutions of nonlinear Schrödinger equation near unstable ground states. The existence of the local center stable manifold around ground states and the asymptotic stability for the solutions on the manifold is proved. The novelty of our result is that we allow the existence of internal modes.
