LIN Shuang,YUAN Xintong,LI Chunhua*.Global existence and time decay estimates of solutions fora system of 1D nonlinear Schrdinger equations[J].Journal of Yanbian University,2018,44(01):1-6.
一类1维非线性Schrödinger方程组整体解的存在性及其时间衰减估计
- Title:
- Global existence and time decay estimates of solutions for a system of 1D nonlinear Schrödinger equations
- 关键词:
- 1维非线性Schrö; dinger方程组; 小初始值; 时间衰减估计
- Keywords:
- a system of 1D nonlinear Schrö; dinger equations; small initial data; time decay estimates
- 分类号:
- O175.29
- 文献标志码:
- A
- 摘要:
- 考虑一类1维非线性Schrödinger方程组的初始值问题,采用因式分解法、能量法以及Sobolev不等式,证明了该方程整体解的存在性和解的时间衰减估计.
- Abstract:
- We consider a system of 1D nonlinear Schrödinger equations for arbitrarily small initial data. We prove the global existence of solutions and investigate the time decay estimates by using the factorization formula, energy method and Sobolev inequalities.
参考文献/References:
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备注/Memo
收稿日期: 2017-10-27
基金项目: 延边大学自然科学基金资助项目(602014071)
*通信作者: 李春花(1977—),女,副教授,研究方向为偏微分方程.