Edge quantisation of elliptic operators (Q1017937)

The paper is concerned with studying of elliptic pseudo-differential operators on a manifold with edges. The edge boundary value problems considered are generalization of \textit{L. Boutet de Monvel}'s calculus [Acta Math. 126, 11--51 (1971; Zbl 0206.39401)]. The main results concern the quantisation of ellipticity for a rather wide class of operators in weighted Sobolev spaces. Applications to Dirichlet-Neumann operators are considered and analogues of the Agranovich-Dynin formula for edge boundary value problems are given.