TY - JOUR A1 - Liu, Xiaochun A1 - Schulze, Bert-Wolfgang T1 - Ellipticity on manifolds with edges and boundary N2 - Ellipticity of a manifold with edges and boundary is connected to boundary and edge conditions that complete corresponding operators to Fredholm operators between weighted Sobolev spaces. We study a new parameter-dependent calculus of elliptic operators, where the interior symbols have specific properties on the boundary. We construct elliptic operators with a prescribed number of edge conditions and obtain isomorphisms in the scale of edge Sobolev spaces Y1 - 2005 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/13758 SN - 0026-9255 ER -