par Colin de Verdière, Yves YCV;Le Bihan, Corentin 
Référence Annales de la Faculté des sciences de Toulouse : Mathématiques, 31, 5, page (1287-1302)
Publication Publié, 2022-12
Référence Annales de la Faculté des sciences de Toulouse : Mathématiques, 31, 5, page (1287-1302)
Publication Publié, 2022-12
Article révisé par les pairs
| Résumé : | The goal of this paper is to present some arguments leading to the following conjecture: a formally self-adjoint differential operator on a closed manifold is essentially self-adjoint if and only if the Hamiltonian flow of its symbol is complete. This holds for differential operators of degree two on the circle, for differential operators of degree one on any closed manifold and for Lorentzian Laplacians on generic Lorentzian surfaces. |
