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arXiv · 2106.04126

Fractional Schr\"odinger equations with singular potentials of higher order. II: Hypoelliptic case

M. Chatzakou·M. Ruzhansky·N. Tokmagambetov
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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 $\mathbb R^n$ with singular potentials was considered.

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M. Chatzakou, M. Ruzhansky, N. Tokmagambetov. 2021-06-08. Fractional Schr\"odinger equations with singular potentials of higher order. II: Hypoelliptic case. https://doi.org/10.1016/s0034-4877(22)00010-6

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