TY  - BOOK
A1  - Lauter, Robert
A1  - Seiler, Jörg
T1  - Pseudodifferential analysis on manifolds with boundary - a comparsion of b-calculus and cone algebra
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 1999
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Lauter, Robert
A1  - Seiler, Jörg
T1  - Pseudodifferential analysis on manifolds with boundary - a comparison of b-calculus and cone algebra
N2  - We establish a relation between two different approaches to a complete pseudodifferential analysis of totally characteristic or Fuchs type operators on compact manifolds with boundary respectively conical singularities: Melrose's (overblown) b-calculus and Schulze's cone algebra. Though quite different in their definition, we show that these two pseudodifferential calculi basically contain the same operators.
T3  - Preprint - (1999) 27 
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25611
ER  - 
TY  - INPR
A1  - Schrohe, Elmar
A1  - Seiler, Jörg
T1  - Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces
N2  - Given a manifold B with conical singularities, we consider the cone algebra with discrete asymptotics, introduced by Schulze, on a suitable scale of Lp-Sobolev spaces. Ellipticity is proven to be equivalent to the Fredholm property in these spaces, it turns out to be independent of the choice of p. We then show that the cone algebra is closed under inversion: whenever an operator is invertible between the associated Sobolev spaces, its inverse belongs to the calculus. We use these results to analyze the behaviour of these operators on Lp(B).
T3  - Preprint - (1999) 28 
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25621
ER  - 
TY  - BOOK
A1  - Schrohe, Elmar
A1  - Seiler, Jörg
T1  - Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 1999
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  -