Global ETD Search

1	Elliptic theory on manifolds with nonisolated singularities : II. Products in elliptic theory on manifolds with edges Nazaikinskii, Vladimir, Savin, Anton, Schulze, Bert-Wolfgang, Sternin, Boris January 2002 (has links) Exterior tensor products of elliptic operators on smooth manifolds and manifolds with conical singularities are used to obtain examples of elliptic operators on manifolds with edges that do not admit well-posed edge boundary and coboundary conditions. exterior tensor product edge-degenerate operators elliptic families conormal symbol Atiyah-Bott obstruction Mathematics
2	Elliptic theory on manifolds with nonisolated singularities : IV. Obstructions to elliptic problems on manifolds with edges Nazaikinskii, Vladimir, Savin, Anton, Schulze, Bert-Wolfgang, Sternin, Boris January 2002 (has links) The obstruction to the existence of Fredholm problems for elliptic differentail operators on manifolds with edges is a topological invariant of the operator. We give an explicit general formula for this invariant. As an application we compute this obstruction for geometric operators. manifolds with edges edge-degenerate operators elliptic families edge symbol Atiyah-Bott obstruction parameter-dependent ellipticity Mathematics