TY  - BOOK
A1  - Harutjunjan, Gohar
A1  - Schulze, Bert-Wolfgang
T1  - Mixed problems and edge calculus : symbol structures
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2001
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Nazajkinskij, Vladimir E.
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
T1  - Localization Problem in Index Theory of Elliptic Operators
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2001
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Crack theory and edge singularities : Chapter III
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe partiell
Y1  - 2001
SN  - 1437-739x
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Crack theory and edge singularities : Chapter V
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe partiell
Y1  - 2001
SN  - 1437-739x
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Crack theory and edge singularities : Chapter I
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe partiell
Y1  - 2001
SN  - 1437-739x
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Crack theory and edge singularities : Chapter II
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe partiell
Y1  - 2001
SN  - 1437-739x
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Crack theory and edge singularities : Chapter VI
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe partiell
Y1  - 2001
SN  - 1437-739x
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Nazaikinskii, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
T1  - Localization problem in index theory of elliptic operators
N2  - This is a survey of recent results concerning the general index locality principle, associated surgery, and their applications to elliptic operators on smooth manifolds and manifolds with singularities as well as boundary value problems. The full version of the paper is submitted for publication in Russian Mathematical Surveys.
T3  - Preprint - (2001) 34 
KW  - elliptic operators
KW  - index theory
KW  - surgery
KW  - relative index
KW  - manifold with singularities
Y1  - 2001
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26175
ER  - 
TY  - INPR
A1  - Egorov, Yu.
A1  - Kondratiev, V.
A1  - Schulze, Bert-Wolfgang
T1  - On completeness of eigenfunctions of an elliptic operator on a manifold with conical points
N2  - Contents: 1 Introduction 2 Definitions 3 Rays of minimal growth 4 Completeness of root functions
T3  - Preprint - (2001) 04 
Y1  - 2001
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25937
ER  - 
TY  - INPR
A1  - Krainer, Thomas
A1  - Schulze, Bert-Wolfgang
T1  - On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder [Part 1: Chapter 1+2]
N2  - We consider general parabolic systems of equations on the infinite time interval in case of the underlying spatial configuration is a closed manifold. The solvability of equations is studied both with respect to time and spatial variables in exponentially weighted anisotropic Sobolev spaces, and existence and maximal regularity statements for parabolic equations are proved. Moreover, we analyze the long-time behaiour of solutions in terms of complete asymptotic expansions. These results are deduced from a pseudodifferential calculus that we construct explicitly. This algebra of operators is specifically designed to contain both the classical systems of parabolic equations of general form and their inverses, parabolicity being reflected purely on symbolic level. To this end, we assign t = ∞ the meaning of an anisotropic conical point, and prove that this interprtation is consistent with the natural setting in the analysis of parabolic PDE. Hence, major parts of this work consist of the construction of an appropriate anisotropiccone calculus of so-called Volterra operators. In particular, which is the most important aspect, we obtain the complete characterization of the microlocal and the global kernel structure of the inverse of parabolicsystems in an infinite space-time cylinder. Moreover, we obtain perturbation results for parabolic equations from the investigation of the ideal structure of the calculus.
T3  - Preprint - (2001) 14 
Y1  - 2001
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25987
ER  -