径向点附近的微局部传播及零阶符号势的散射
偏微分方程分析
2008-09-13 v3
摘要
本文发展了 的散射与谱理论，其中 是紧边界流形 上散射度量 的 Laplacian， 为实值函数；这推广了我们此前在二维情形下的结果。此类算子包含了欧氏空间上 Laplacian 在无穷远处零次齐次势的微扰。几何散射理论的许多特殊结构可追溯到底层经典系统出现径向点；本文的主要部分构成了这些点处微局部分析的一般框架。
引用
@article{arxiv.math/0502398,
title = {Microlocal propagation near radial points and scattering for symbolic potentials of order zero},
author = {Andrew Hassell and Richard Melrose and Andras Vasy},
journal= {arXiv preprint arXiv:math/0502398},
year = {2008}
}
备注
Revised based on referee comments. While there are no substantial changes, the readability has been improved, a number of typos have been fixed and even some incorrect statements have been corrected. The order of the two phrases in the title has been reversed to indicate their relative importance