For elliptic operators on manifolds with boundary, we define spectral boundary value problems, which generalize the Atiyah-Patodi-Singer problem to the case of nonhomogeneous boundary conditions, operators of arbitrary order, and nonself-adjoint conormal symbols. The Fredholm property is proved and equivalence with certain elliptic equations on manifolds with conical singularities is established.
Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2514 |
Date | January 1997 |
Creators | Schulze, Bert-Wolfgang, Nazaikinskii, Vladimir, Sternin, Boris, Shatalov, Victor |
Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik |
Source Sets | Potsdam University |
Language | English |
Detected Language | English |
Type | Preprint |
Format | application/pdf |
Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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