非捕获渐近锥流形上的全局时间Strichartz估计
偏微分方程分析
2016-02-24 v3
摘要
我们证明了一类非捕获渐近锥流形上薛定谔方程解的无导数损失的全局时间Strichartz估计。我们在齐次和非齐次情形下获得了包括端点在内的全部允许指标集的估计。该结果改进了Hassell-Tao-Wunsch和Mizutani早期论文中局部时间的结果。
引用
@article{arxiv.1310.0909,
title = {Global-in-time Strichartz estimates on non-trapping asymptotically conic manifolds},
author = {Andrew Hassell and Junyong Zhang},
journal= {arXiv preprint arXiv:1310.0909},
year = {2016}
}
备注
40 pages, 2 figures. We have added some additional explanation concerning results used from earlier papers, particularly those related to the Legendre structure of the spectral measure