Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case

preprint2021arXivOpen access

Abstract

In this paper we consider the space-fractional Schrödinger 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 Schrödinger equation on Rn\mathbb R^n with singular potentials was considered.

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