@unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : I. The index of families of cone-degenerate operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26327}, year = {2002}, abstract = {We study the index problem for families of elliptic operators on manifolds with conical singularities. The relative index theorem concerning changes of the weight line is obtained. AN index theorem for families whose conormal symbols satisfy some symmetry conditions is derived.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : III. The spectral flow of families of conormal symbols}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26386}, year = {2002}, abstract = {When studyind elliptic operators on manifolds with nonisolated singularities one naturally encounters families of conormal symbols (i.e. operators elliptic with parameter p ∈ IR in the sense of Agranovich-Vishik) parametrized by the set of singular points. For homotopies of such families we define the notion of spectral flow, which in this case is an element of the K-group of the parameter space. We prove that the spectral flow is equal to the index of some family of operators on the infinite cone.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : IV. Obstructions to elliptic problems on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26415}, year = {2002}, abstract = {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 As an application we compute this obstruction for geometric operators.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : II. Products in elliptic theory on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26335}, year = {2002}, abstract = {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.}, language = {en} }