Global ETD Search

1	Boundary value problems in cuspidal wedges Rabinovich, Vladimir, Schulze, Bert-Wolfgang, Tarkhanov, Nikolai January 1998 (has links) The paper is devoted to pseudodifferential boundary value problems in domains with cuspidal wedges. Concerning the geometry we even admit a more general behaviour, namely oscillating cuspidal wedges. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to edges. pseudodifferential operators boundary value problems manifolds with edges Mathematics
2	Green operators in the edge calculus Schulze, Bert-Wolfgang, Volpato, A. January 2004 (has links) Green operators on manifolds with edges are known to be an ingredient of parametrices of elliptic (edge-degenerate) operators. They play a similar role as corresponding operators in boundary value problems. Close to edge singularities the Green operators have a very complex asymptotic behaviour. We give a new characterisation of Green edge symbols in terms of kernels with discrete and continuous asymptotics in the axial variable of local model cones. operators on manifolds with edges weighted spaces with asymptotics Green and Mellin edge operators Mathematics
3	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

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