TY  - JOUR
A1  - Schulze, Bert-Wolfgang
A1  - Seiler, Jörg
T1  - Elliptic complexes on manifolds with boundary
JF  - The journal of geometric analysis
N2  - We show that elliptic complexes of (pseudo) differential operators on smooth compact manifolds with boundary can always be complemented to a Fredholm problem by boundary conditions involving global pseudodifferential projections on the boundary (similarly as the spectral boundary conditions of Atiyah, Patodi, and Singer for a single operator). We prove that boundary conditions without projections can be chosen if, and only if, the topological Atiyah-Bott obstruction vanishes. These results make use of a Fredholm theory for complexes of operators in algebras of generalized pseudodifferential operators of Toeplitz type which we also develop in the present paper.
KW  - Elliptic complexes
KW  - Manifolds with boundary
KW  - Atiyah-Bott obstruction
KW  - Toeplitz-type pseudodifferential operators
Y1  - 2018
U6  - https://doi.org/10.1007/s12220-018-0014-6
SN  - 1050-6926
SN  - 1559-002X
VL  - 29
IS  - 1
SP  - 656
EP  - 706
PB  - Springer
CY  - New York
ER  - 
TY  - JOUR
A1  - Gil, J. B.
A1  - Schulze, Bert-Wolfgang
A1  - Seiler, Jörg
T1  - Holomorphic operator-valued symbols for edgedegenerate pseudo-differential operators
Y1  - 1997
ER  - 
TY  - THES
A1  - Seiler, Jörg
T1  - Pseudodifferential Calculus on Manifolds with Non-Compact Edges
Y1  - 1997
CY  - Potsdam
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  - 
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  - JOUR
A1  - Coriasco, S.
A1  - Seiler, Jörg
A1  - Schrohe, Elmar
T1  - Differential operators on conic manifolds : maximal regularity and parabolic equations
Y1  - 2001
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Seiler, Jörg
T1  - The edge algebra structure of boundary value problems
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2001
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Coriasco, S.
A1  - Schrohe, Elmar
A1  - Seiler, Jörg
T1  - Bounded imaginary powers of differential operators on manifolds with conical singularities
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2001
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Seiler, Jörg
T1  - Edge operators with conditions of toeplitz type
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2002
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Schulze, Bert-Wolfgang
A1  - Seiler, Jörg
T1  - Pseudodifferential boundary value problems with global projection conditions
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2002
PB  - Univ.
CY  - Potsdam
ER  -