具有高阶奇异势的分数阶薛定谔方程. II: 次椭圆情形
偏微分方程分析
2022-03-14 v2
摘要
在本文中,我们考虑了一类广泛的分数次椭圆算子下带有奇异势的空间分数阶薛定谔方程。此类分析可方便地在分次李群的框架中实现。本文是对先前一篇考虑 上带奇异势的经典薛定谔方程的文章的延续与扩展。
引用
@article{arxiv.2106.04126,
title = {Fractional Schr\"odinger equations with singular potentials of higher order. II: Hypoelliptic case},
author = {M. Chatzakou and M. Ruzhansky and N. Tokmagambetov},
journal= {arXiv preprint arXiv:2106.04126},
year = {2022}
}
备注
This work is a continuation and an extension of the previous one, see arXiv:2004.10182v2, on $\mathbb R^n$. arXiv admin note: substantial text overlap with arXiv:2105.12862