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On the Index of Elliptic Operators on a Wedge

โœ Scribed by Boris V Fedosov; Bert-Wolfgang Schulze; Nikolai N Tarkhanov

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
510 KB
Volume
157
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

We propose an analytical approach to the index theory of pseudo-differential operators on a manifold with edges. It results in an intermediate algebraic index formula. The latter permits much more freedom in homotopies and, in particular, can be transformed to the topological formula.

๐Ÿ“œ SIMILAR VOLUMES

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## Abstract We consider a class of degenerate classical pseudodifferential operators on a closed curve and compute their index in Sobolev spaces. The index is expressed as a winding number by means of the principal and the subprincipal symbol. Furthermore, applications to the smoothness of solution

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