Operators with corner-degenerate symbols

• Main Authors: Abed, Jamil, Schulze, Bert-Wolfgang
• Format: Others
• Language: English
• Published: Universität Potsdam 2008
• Subjects: Mathematics
• Online Access: http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30299; http://opus.kobv.de/ubp/volltexte/2009/3029/

We establish elements of a new approch to ellipticity and parametrices within operator algebras on a manifold with higher singularities, only based on some general axiomatic requirements on parameter-dependent operators in suitable scales of spaces. The idea is to model an iterative process with new generations of parameter-dependent operator theories, together with new scales of spaces that satisfy analogous requirements as the original ones, now on a corresponding higher level. The “full” calculus is voluminous; so we content ourselves here with some typical aspects such as symbols in terms of order reducing families, classes of relevant examples, and operators near the conical exit to infinity.