$\mathbb{H}^{n+1}$ 上标量与矩阵 Schr"odinger 算子的色散估计
偏微分方程分析
2015-09-02 v4
摘要
我们研究了 时 上标量与矩阵 Schr"odinger 型算子的预解式估计、谱理论及长时间色散性质。
引用
@article{arxiv.1410.8829,
title = {Dispersive Estimates for Scalar and Matrix Schr\"odinger operators on $\mathbb{H}^{n+1}$},
author = {David Borthwick and Jeremy L. Marzuola},
journal= {arXiv preprint arXiv:1410.8829},
year = {2015}
}
备注
29 pages. Conjecture in Intro changed to account for a partial answer to the negative of one component given by a recent result of Banica-Duyckaerts in arXiv:1411.0846, reference added, instability of bound states for cubic NLS on H^2 noted, time scales addressed