加权$L^{2}$空间中具初值的小解之Manakov系统长时间动力学
偏微分方程分析
2019-07-25 v2
摘要
本文计算了Manakov系统小解的长时间渐近性，该系统是非线性Schrödinger方程的耦合系统，仅假设初值属于加权空间。这将是我们理解低正则性空间中高阶AKNS系统长时间渐近性并分析修正散射相互作用的第一步。在最后一节，我们也讨论了线性散射与修正散射的相互作用。我们的技术依赖于时空共振的思想。
引用
@article{arxiv.1907.07244,
title = {Long-time dynamics of small solutions to the Manakov system with initial data in the weighted $L^{2}$ space},
author = {Gong Chen},
journal= {arXiv preprint arXiv:1907.07244},
year = {2019}
}
备注
This paper is withdrawn since the author realized part of computations in this paper are similar to arXiv:1511.01263 although the models and original motivations are slightly different