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Sharp essential self-adjointness of relativistic Schrödinger operators with a singular potential
Authors:Mouhamed Moustapha Fall  Veronica Felli
Institution:1. African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour, Senegal;2. Università di Milano Bicocca, Dipartimento di Matematica e Applicazioni, Via Cozzi 55, 20125 Milano, Italy
Abstract:This paper is devoted to the study of essential self-adjointness of a relativistic Schrödinger operator with a singular homogeneous potential. From an explicit condition on the coefficient of the singular term, we provide a sufficient and necessary condition for essential self-adjointness.
Keywords:35R11  35B40  47B25  35J75
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