黎曼散射（渐近锥）空间上的极限吸收原理：一种拉格朗日方法
偏微分方程分析
2019-07-16 v2 微分几何
摘要
我们采用拉格朗日视角证明了黎曼散射（即渐近锥）空间及其推广上的极限吸收原理。更确切地说，我们证明了对于非零谱参数，‘在谱上’以及‘离谱’谱族在编码了散射理论中‘出射球面波’推广之拉格朗日正则性的函数空间中是 Fredholm 的，并且这确实在‘物理半平面’中持续成立。
引用
@article{arxiv.1905.12587,
title = {Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach},
author = {Andras Vasy},
journal= {arXiv preprint arXiv:1905.12587},
year = {2019}
}
备注
42 pages, 4 figures. This version mostly adds some explanations to the first version, but there are some other minor changes as well scattered throughout the text