TY  - BOOK
A1  - Abed, Jamil
A1  - Schulze, Bert-Wolfgang
T1  - Operators with Corner-degenerate Symbols
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2008
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Abed, Jamil
A1  - Schulze, Bert-Wolfgang
T1  - Operators with corner-degenerate symbols
N2  - 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.
T3  - Preprint - (2008) 01 
Y1  - 2008
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30299
ER  - 
TY  - INPR
A1  - Abed, Jamil
A1  - Schulze, Bert-Wolfgang
T1  - Edge-degenerate families of ΨDO’s on an infinite cylinder
N2  - We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.
T3  - Preprint - (2009) 01 
KW  - Edge-degenerate operators
KW  - parameter-dependent pseudodifferential operators
KW  - norm estimates with respect to a parameter
Y1  - 2009
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30365
ER  - 
TY  - BOOK
A1  - Albeverio, Sergio
A1  - Demuth, Michael
A1  - Schrohe, Elmar
A1  - Schulze, Bert-Wolfgang
T1  - Parabolicity, volterra calculus, and conical singularities : a volume of advances in partial differential equations
T3  - Operator theory : advances and applications
Y1  - 2002
SN  - 3-7643-6906-x
VL  - 138
PB  - Birkhäuser Verl.
CY  - Basel
ER  - 
TY  - JOUR
A1  - Buchholz, Thilo
A1  - Schulze, Bert-Wolfgang
T1  - Anisotropic edges pseudo-differential operators withdiscrete asymptotics
Y1  - 1997
ER  - 
TY  - BOOK
A1  - Buchholz, Thilo
A1  - Schulze, Bert-Wolfgang
T1  - Volterra operators and parabolicity : anisotropic pseudo-differential operators
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1998
VL  - 1998, 11
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Buchholz, Thilo
A1  - Schulze, Bert-Wolfgang
T1  - Volterra operators and parabolicity : anisotropic pseudo-differential operators
N2  - Parabolic equations on manifolds with singularities require a new calculus of anisotropic pseudo-differential operators with operator-valued symbols. The paper develops this theory along the lines of sn abstract wedge calculus with strongly continuous groups of isomorphisms on the involved Banach spaces. The corresponding pseodo-diferential operators are continuous in anisotropic wedge Sobolev spaces, and they form an alegbra. There is then introduced the concept of anisotropic parameter-dependent ellipticity, based on an order reduction variant of the pseudo-differential calculus. The theory is appled to a class of parabolic differential operators, and it is proved the invertibility in Sobolev spaces with exponential weights at infinity in time direction.
T3  - Preprint - (1998) 11 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25231
ER  - 
TY  - JOUR
A1  - Burenkov, V.
A1  - Schulze, Bert-Wolfgang
A1  - Tarchanov, Nikolaj N.
T1  - Extension operators for sobolev spaces commuting with a given transform
Y1  - 1998
ER  - 
TY  - BOOK
A1  - Calvo, D.
A1  - Martin, Calin-Iulian
A1  - Schulze, Bert-Wolfgang
T1  - Symbolic Structures on Corner Manifolds
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2004
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Calvo, D.
A1  - Schulze, Bert-Wolfgang
T1  - Operators on Corner Manifolds with Exit to Infinity
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2005
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  -