Fractional Schr\"odinger equations with singular potentials of higher order. II: Hypoelliptic case
Analysis of PDEs
2022-03-14 v2
Abstract
In this paper we consider the space-fractional Schr\"odinger equation with a singular potential for a wide class of fractional hypoelliptic operators. Such analysis can be conveniently realised in the setting of graded Lie groups. The paper is a continuation and extension of a previous one where the classical Schr\"odinger equation on with singular potentials was considered.
Keywords
Cite
@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}
}
Comments
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