In this proceeding, we present some recent results obtained in [4] on the essential self-adjointness of sub-Laplacians on non-complete sub-Riemannian manifolds. A notable application is the proof of the essential self-adjointness of the Popp sub-Laplacian on the equiregular connected components of a sub-Riemannian manifold, when the singular region does not contain characteristic points. In their presence, the self-adjointness properties of (sub-)Laplacians are still unknown. We conclude the paper discussing the difficulties arising in this case

Recent results on the essential self-adjointness of sub-Laplacians, with some remarks on the presence of characteristic points / Franceschi, Valentina; Prandi, Dario; Rizzi, Luca. - In: SÉMINAIRE DE THÉORIE SPECTRALE ET GÉOMÉTRIE. - ISSN 1624-5458. - 33:(2015), pp. 1-15. [10.5802/tsg.311]

Recent results on the essential self-adjointness of sub-Laplacians, with some remarks on the presence of characteristic points

Prandi, Dario;Rizzi, Luca
2015

Abstract

In this proceeding, we present some recent results obtained in [4] on the essential self-adjointness of sub-Laplacians on non-complete sub-Riemannian manifolds. A notable application is the proof of the essential self-adjointness of the Popp sub-Laplacian on the equiregular connected components of a sub-Riemannian manifold, when the singular region does not contain characteristic points. In their presence, the self-adjointness properties of (sub-)Laplacians are still unknown. We conclude the paper discussing the difficulties arising in this case
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1
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Franceschi, Valentina; Prandi, Dario; Rizzi, Luca
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/128687
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