@article{HarutjunjanSchulze2005,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Boundary problems with meromorphic symbols in cylindrical domains},
  issn      = {0170-4214},
  year      = {2005},
  abstract  = {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},
  language  = {en}
}
@article{NazajkinskijSavinSterninetal.2005,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {Pseudodifferential operators on manifolds with singularities and localization},
  issn      = {1064-5624},
  year      = {2005},
  language  = {en}
}
@article{DinesSchulze2005,
  author    = {Dines, Nicoleta and Schulze, Bert-Wolfgang},
  title     = {Mellin-edge representations of elliptic operators},
  issn      = {0170-4214},
  year      = {2005},
  abstract  = {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},
  language  = {en}
}
@article{NazajkinskijSavinSterninetal.2005,
  author    = {Nazajkinskij, Vladimir E. and Savin, Anton and Sternin, Boris Ju. and Schulze, Bert-Wolfgang},
  title     = {On the index of elliptic operators on manifolds with edges},
  year      = {2005},
  abstract  = {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},
  language  = {en}
}
@book{MartinSchulze2005,
  author    = {Martin, Calin-Iulian and Schulze, Bert-Wolfgang},
  title     = {The Quantisation of edge symbols},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {30 S.},
  year      = {2005},
  language  = {en}
}
@book{SchulzeQin2005,
  author    = {Schulze, Bert-Wolfgang and Qin, Yuming},
  title     = {Uniform compact attractors for a nonlinear non-autonomous equation of viscoelasticity},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {53 S.},
  year      = {2005},
  language  = {en}
}
@book{KapanadzeSchulze2005,
  author    = {Kapanadze, David and Schulze, Bert-Wolfgang},
  title     = {Boundary-contact Problems for Domains with Edges Singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1613-3307},
  pages     = {26 S.},
  year      = {2005},
  language  = {en}
}
@book{HarutjunjanSchulze2005,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Conormal symbols of mixed elliptic problems with singular interfaces},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {18 S.},
  year      = {2005},
  language  = {en}
}
@book{SchulzeTarkhanov2005,
  author    = {Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich},
  title     = {New algebras of boundary value problems for elliptic pseudodifferential operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {80 S.},
  year      = {2005},
  language  = {en}
}
@book{CalvoSchulze2005,
  author    = {Calvo, D. and Schulze, Bert-Wolfgang},
  title     = {Operators on Corner Manifolds with Exit to Infinity},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {48 S.},
  year      = {2005},
  language  = {en}
}
@article{HarutjunjanSchulze2006,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {The relative index for corner singularities},
  issn      = {0378-620X},
  doi       = {10.1007/s00020-005-1367-3},
  year      = {2006},
  abstract  = {We study pseudo-differential operators on a cylinder R x B where B has conical singularities. Configurations of that kind are the local model of corner singularities with cross section B. Operators in our calculus are assumed to have symbols a which are meromorphic in the complex covariable with values in the algebra of all cone operators on B. We show an explicit formula for solutions of the homogeneous equation if a is independent of the axial variable t is an element of R. Each non-bijectivity point of the symbol in the complex plane corresponds to a finite-dimensional space of solutions. Moreover, we give a relative index formula},
  language  = {en}
}
@article{SchulzeSeiler2006,
  author    = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg},
  title     = {Edge operators with conditions of Toeplitz type},
  year      = {2006},
  abstract  = {Ellipticity of operators on a manifold with edges can be treated in the framework of a calculus of 2 X 2-block matrix operators with trace and potential operators on the edges. The picture is similar to the pseudodifferential analysis of boundary-value problems. The extra conditions satisfy an analogue of the Shapiro-Lopatinskij condition, provided a topological obstruction for the elliptic edge-degenerate operator in the upper left corner vanishes; this is an analogue of a condition of Atiyah and Bott in boundary-value problems. In general, however, we need global projection data, similarly to global boundary conditions, known for Dirac operators or other geometric operators. The present paper develops a new calculus with global projection data for operators on manifolds with edges. In particular, we show the Fredholm property in a suitable scale of spaces and construct parametrices within the calculus},
  language  = {en}
}
@book{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Pseudo-differential calculus on Manifolds with geometric singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {60 S.},
  year      = {2006},
  language  = {en}
}
@book{HarutjunjanSchulze2006,
  author    = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Boundary value problems in weighted edge spaces},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {21 S.},
  year      = {2006},
  language  = {en}
}
@article{DeDonnoSchulze2006,
  author    = {De Donno, Giuseppe and Schulze, Bert-Wolfgang},
  title     = {Meromorphic symbolic structures for boundary value problems on manifolds with edges},
  issn      = {0025-584X},
  doi       = {10.1002/mana.200310366},
  year      = {2006},
  abstract  = {We investigate the ideal of Green and Mellin operators with asymptotics for a manifold with edge-corner singularities and boundary which belongs to the structure of parametrices of elliptic boundary value problems on a configuration with corners whose base manifolds have edges.},
  language  = {en}
}
@article{CoriascoSchulze2006,
  author    = {Coriasco, Sandro and Schulze, Bert-Wolfgang},
  title     = {Edge problems on configurations with model cones of different dimensions},
  issn      = {0030-6126},
  year      = {2006},
  abstract  = {Elliptic equations on configurations W = W-1 boolean OR (. . .) boolean OR W-N with edge Y and components W-j of different dimension can be treated in the frame of pseudo-differential analysis on manifolds with geometric singularities, here edges. Starting from edge-degenerate operators on Wj, j = 1, . . . , N, we construct an algebra with extra 'transmission' conditions on Y that satisfy an analogue of the Shapiro-Lopatinskij condition. Ellipticity refers to a two-component symbolic hierarchy with an interior and an edge part; the latter one is operator- valued, operating on the union of different dimensional model cones. We construct parametrices within our calculus, where exchange of information between the various components is encoded in Green and Mellin operators that are smoothing on WY. Moreover, we obtain regularity of solutions in weighted edge spaces with asymptotics},
  language  = {en}
}
@book{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {Elliptic differential operators on Manifolds with Edges},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {14 S.},
  year      = {2006},
  language  = {en}
}
@book{Schulze2006,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The structure of operators on manifolds with polyhedral singularities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {131 S.},
  year      = {2006},
  language  = {en}
}
@book{KapanadzeSchulzeSeiler2006,
  author    = {Kapanadze, David and Schulze, Bert-Wolfgang and Seiler, J{\"o}rg},
  title     = {Operators with singular trace conditions on a manifold with edges},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {33 S.},
  year      = {2006},
  language  = {en}
}
@book{FladSchneiderSchulze2007,
  author    = {Flad, H.-J. and Schneider, R. and Schulze, Bert-Wolfgang},
  title     = {Asymptotic Regularity of Solutions of Hartree-Fock Equations with Coulomb Potential},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {26 S.},
  year      = {2007},
  language  = {en}
}
@book{Schulze2008,
  author    = {Schulze, Bert-Wolfgang},
  title     = {On a paper of Krupchyk, Tarkhanov and Tuomela},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {12 S.},
  year      = {2008},
  language  = {en}
}
@book{SchulzeWei2008,
  author    = {Schulze, Bert-Wolfgang and Wei, Ya-wei},
  title     = {Edge-boundary problems with singular trace conditions},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {21 S.},
  year      = {2008},
  language  = {en}
}
@book{AbedSchulze2008,
  author    = {Abed, Jamil and Schulze, Bert-Wolfgang},
  title     = {Operators with Corner-degenerate Symbols},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {47 S.},
  year      = {2008},
  language  = {en}
}