@book{FedosovSchulzeTarchanov2000, author = {Fedosov, Boris V. and Schulze, Bert-Wolfgang and Tarchanov, Nikolaj N.}, title = {Analytic index formulas for elliptic corner 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 = {70 S.}, year = {2000}, language = {en} } @book{HarutjunjanSchulzeWitt2000, author = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang and Witt, Ingo}, title = {Boundary value problems in the edge pseudo-differential calculus}, 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publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {48 S.}, year = {2000}, language = {en} } @unpublished{KapanadzeSchulze2000, author = {Kapanadze, David and Schulze, Bert-Wolfgang}, title = {Boundary value problems on manifolds with exits to infinity}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25727}, year = {2000}, abstract = {We construct a new calculus of boundary value problems with the transmission property on a non-compact smooth manifold with boundary and conical exits to infinity. The symbols are classical both in covariables and variables. The operators are determined by principal symbol tuples modulo operators of lower orders and weights (such remainders are compact in weighted Sobolev spaces). We develop the concept of ellipticity, construct parametrices within the algebra and obtain the Fredholm property. For the existence of Shapiro-Lopatinskij elliptic boundary conditions to a given elliptic operator we prove an analogue of the Atiyah-Bott condition.}, language = {en} } @book{KapanadzeSchulze2000, author = {Kapanadze, David and Schulze, Bert-Wolfgang}, title = {Boundary value problems on manifolds with exits 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 = {57 S.}, year = {2000}, language = {en} } @book{KapanadzeSchulze2000, author = {Kapanadze, David and Schulze, Bert-Wolfgang}, title = {Pseudo-differential Crack Theory}, 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 = {62 S.}, year = {2000}, language = {en} } @unpublished{KapanadzeSchulze2000, author = {Kapanadze, David and Schulze, Bert-Wolfgang}, title = {Pseudo-differential crack theory}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25759}, year = {2000}, abstract = {Crack problems are regarded as elements in a pseudo-differential algbra, where the two sdes int S± of the crack S are treated as interior boundaries and the boundary Y of the crack as an edge singularity. We employ the pseudo-differential calculus of boundary value problems with the transmission property near int S± and the edge pseudo-differential calculus (in a variant with Douglis-Nirenberg orders) to construct parametrices od elliptic crack problems (with extra trace and potential conditions along Y) and to characterise asymptotics of solutions near Y (expressed in the framework of continuous asymptotics). Our operator algebra with boundary and edge symbols contains new weight and order conventions that are necessary also for the more general calculus on manifolds with boundary and edges.}, language = {en} } @book{KapanadzeSchulzeWitt2000, author = {Kapanadze, David and Schulze, Bert-Wolfgang and Witt, Ingo}, title = {Coordinate invarince of the cone algebra with asymptotics}, 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 = {42 S.}, year = {2000}, language = {en} } @unpublished{KapanadzeSchulzeWitt2000, author = {Kapanadze, David and Schulze, Bert-Wolfgang and Witt, Ingo}, title = {Coordinate invariance of the cone algebra with asymptotics}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25671}, year = {2000}, abstract = {The cone algebra with discrete asymptotics on a manifold with conical singularities is shown to be invariant under natural coordinate changes, where the symbol structure (i.e., the Fuchsian interior symbol, conormal symbols of all orders) follows a corresponding transformation rule.}, language = {en} } @book{KrainerSchulze2000, author = {Krainer, Thomas and Schulze, Bert-Wolfgang}, title = {On the inverse of parabolic systems of partial differential equation of german form in an infinite space-time cylinder : Charpters III - V}, 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 = {220 S.}, year = {2000}, language = {en} } @book{KrainerSchulze2000, author = {Krainer, Thomas and Schulze, Bert-Wolfgang}, title = {Long-time asymptotics with geometric singularities in the spatial variables}, 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 = {2000}, language = {en} }