Extension operator for the MIT bag model

Naiara Arrizabalaga (1) , Loïc Le Treust (2) , Nicolas Raymond (3)

1 UPV / EHU - University of the Basque Country = Euskal Herriko Unibertsitatea
2 I2M - Institut de Mathématiques de Marseille
3 IRMAR - Institut de Recherche Mathématique de Rennes

This paper is devoted to the construction of an extension operator for the MIT bag Dirac operator on a $\mathcal{C}^{ 2,1}$ bounded open set of $\mathbb{R}^3$ in the spirit of the extension theorems for Sobolev spaces. As an elementary byproduct, we prove that the MIT bag Dirac operator is self-adjoint.

Domaines: Mathématiques [math]

Naiara Arrizabalaga, Loïc Le Treust, Nicolas Raymond. Extension operator for the MIT bag model. Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2020, 29 (1), pp.135-147. ⟨10.5802/afst.1627⟩. ⟨hal-01540149⟩