二维临界磁场薛定谔算符的一致预解估计
偏微分方程分析
2021-09-27 v2 谱理论
摘要
我们研究了标度临界磁场中二维薛定谔算符的 L^p-L^q 型一致预解估计，以阿哈罗诺夫-玻姆模型为主要例子。作为应用，我们证明了磁场哈密顿量某些非自伴零阶扰动的本征值的局域化估计。
引用
@article{arxiv.2109.11327,
title = {Uniform resolvent estimates for critical magnetic Schr\"odinger operators in 2D},
author = {Luca Fanelli and Junyong Zhang and Jiqiang Zheng},
journal= {arXiv preprint arXiv:2109.11327},
year = {2021}
}
备注
31 pages. We add some remarks after Theorem 1.2 and correct some typos in the new version. Comments are welcome!