TY  - JOUR
A1  - Liu, Xiaochun
A1  - Schulze, Bert-Wolfgang
T1  - Ellipticity on manifolds with edges and boundary
N2  - Ellipticity of a manifold with edges and boundary is connected to boundary and edge conditions that complete corresponding operators to Fredholm operators between weighted Sobolev spaces. We study a new parameter-dependent calculus of elliptic operators, where the interior symbols have specific properties on the boundary. We construct elliptic operators with a prescribed number of edge conditions and obtain isomorphisms in the scale of edge Sobolev spaces
Y1  - 2005
SN  - 0026-9255
ER  - 
TY  - JOUR
A1  - Kytmanov, Alexander M.
A1  - Myslivets, Simona
A1  - Schulze, Bert-Wolfgang
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Elliptic problems for the Dolbeault complex
N2  - The inhomogeneous partial derivative-equation is an inexhaustible source of locally unsolvable equations, subelliptic estimates and other phenomena in partial differential equations. Loosely speaking, for the analysis on complex manifolds with boundary nonelliptic problems are typical rather than elliptic ones. Using explicit integral representations we assign a Fredholm complex to the Dolbeault complex over an arbitrary bounded domain in C-n. (C) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Y1  - 2005
SN  - 0025-584X
ER  - 
TY  - JOUR
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Boundary-contact problems for domains with conical singularities
N2  - We study boundary-contact problems for elliptic equations (and systems) with interfaces that have conical singularities. Such problems represent continuous operators between weighted Sobolev spaces and subspaces with asymptotics. Ellipticity is formulated in terms of extra transmission conditions along the interfaces with a control of the conormal symbolic structure near conical singularities. We show regularity and asymptotics of solutions in weighted spaces, and we construct parametrices. The result will be illustrated by a number of explicit examples. (c) 2004 Elsevier Inc. All rights reserved
Y1  - 2005
SN  - 0022-0396
ER  - 
TY  - JOUR
A1  - Harutjunjan, Gohar
A1  - Schulze, Bert-Wolfgang
T1  - Boundary problems with meromorphic symbols in cylindrical domains
N2  - We show relative index formulas for boundary value problems in cylindrical domains and Sobolev spaces with different weights at too. The amplitude functions are meromorphic in the axial covariable and take values in the space of boundary value problems on the cross section of the cylinder. Copyright (c) 2005 John Wiley & Sons, Ltd
Y1  - 2005
SN  - 0170-4214
ER  - 
TY  - JOUR
A1  - Nazajkinskij, Vladimir E.
A1  - Savin, Anton
A1  - Sternin, Boris Ju.
A1  - Schulze, Bert-Wolfgang
T1  - Pseudodifferential operators on manifolds with singularities and localization
Y1  - 2005
SN  - 1064-5624
ER  - 
TY  - JOUR
A1  - Dines, Nicoleta
A1  - Schulze, Bert-Wolfgang
T1  - Mellin-edge representations of elliptic operators
N2  - We construct a class of elliptic operators in the edge algebra on a manifold M with an embedded submanifold Y interpreted as an edge. The ellipticity refers to a principal symbolic structure consisting of the standard interior symbol and an operator-valued edge symbol. Given a differential operator A on M for every (sufficiently large) s we construct an associated operator A(s) in the edge calculus. We show that ellipticity of A in the usual sense entails ellipticity of A(s) as an edge operator (up to a discrete set of reals s). Parametrices P of A then correspond to parametrices P-s of A(s) interpreted as Mellin-edge representations of P. Copyright (c) 2005 John Wiley & Sons, Ltd
Y1  - 2005
SN  - 0170-4214
ER  - 
TY  - JOUR
A1  - Nazajkinskij, Vladimir E.
A1  - Savin, Anton
A1  - Sternin, Boris Ju.
A1  - Schulze, Bert-Wolfgang
T1  - On the index of elliptic operators on manifolds with edges
N2  - Necessary and sufficient conditions for the representation of the index of elliptic operators on manifolds with edges in the form of the sum of homotopy invariants of symbols on the smooth stratum and on the edge are found. An index formula is obtained for elliptic operators on manifolds with edges under symmetry conditions with respect to the edge covariables
Y1  - 2005
ER  - 
TY  - BOOK
A1  - Martin, Calin-Iulian
A1  - Schulze, Bert-Wolfgang
T1  - The Quantisation of edge symbols
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2005
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Qin, Yuming
T1  - Uniform compact attractors for a nonlinear non-autonomous equation of viscoelasticity
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2005
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Boundary-contact Problems for Domains with Edges Singularities
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2005
SN  - 1613-3307
PB  - Univ.
CY  - Potsdam
ER  -