Spelling suggestions: "subject:"edgedegenerate operators"" "subject:"madedegenerate operators""
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Elliptic theory on manifolds with nonisolated singularities : II. Products in elliptic theory on manifolds with edgesNazaikinskii, 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.
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Edge-degenerate families of ΨDO’s on an infinite cylinderAbed, Jamil, Schulze, Bert-Wolfgang January 2009 (has links)
We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.
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Elliptic theory on manifolds with nonisolated singularities : IV. Obstructions to elliptic problems on manifolds with edgesNazaikinskii, 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.
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