SHI Renshu.The asymptotic behavior of solutions to a system of one-dimensional critical NLS equations[J].Journal of Yanbian University,2015,41(03):196-198.
一类一维临界非线性薛定谔方程组解的渐近行为
- Title:
- The asymptotic behavior of solutions to a system of one-dimensional critical NLS equations
- 关键词:
- 临界非线性薛定谔方程组; 渐近自由; 时间衰减估计
- Keywords:
- a system of critical nonlinear Schr(¨overo)dinger equations; asymptoti-cally free; time decay estimates
- 分类号:
- O175.29
- 文献标志码:
- A
- 摘要:
- 讨论了一类一维临界非线性薛定谔方程组解的渐近行为.在粒子质量满足一定关系的条件下,通过运用所研究非线性薛定谔方程组解的衰减估计,得出了此类方程组渐近自由解的非存在性.
- Abstract:
- This paper concerns the asymptotic behavior of the system of time dependent Schr(¨overo)dinger equations with critical nonlinearities in one space dimension. Under some mass conditions, we show that there does not exist any asymptotic free solutions to the system by using the time decay estimates of nonlinear solutions.
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备注/Memo
收稿日期: 2015-07-12作者简介: 石仁淑(1960—),女,副教授,研究方向为微分方程.