具有锥形端流形上的波动与 Schrödinger 演化衰减，第一部分
偏微分方程分析
2008-01-15 v1 数学物理
math.MP
摘要
在 Hamilton 流表现出俘获效应的具有锥形端的流形上，获得了 Schrödinger 和波动演化的全局时间色散估计。本文处理的是具有“零角动量”初始数据的情形。
引用
@article{arxiv.0801.1999,
title = {Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part I},
author = {Wilhelm Schlag and Avy Soffer and Wolfgang Staubach},
journal= {arXiv preprint arXiv:0801.1999},
year = {2008}
}
备注
32 pages, This paper differs in terms of both generalizations and improvement of the exposition from the paper "Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution, Part I", and is therefore posted as a new paper