TY - BOOK A1 - Krainer, Thomas A1 - Schulze, Bert-Wolfgang T1 - On the inverse of parabolic systems of partial differential equation of german form in an infinite space-time cylinder : Charpters III - V T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Fedosov, Boris V. A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Analytic index formulas for elliptic corner operators T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang A1 - Witt, Ingo T1 - Coordinate invarince of the cone algebra with asymptotics T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - Applications of noncommutative analysis to operator algebras on singular manifolds T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - Noncommutative analysis : main ideas, definitions, and theorems T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Harutjunjan, Gohar A1 - Schulze, Bert-Wolfgang A1 - Witt, Ingo T1 - Boundary value problems in the edge pseudo-differential calculus T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Slapunov, Aleksandr A. A1 - Tarchanov, Nikolaj N. T1 - Green integrals on manifolds with cracks T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Asymtotics of solutions to elliptic equations on manifolds with corners T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang T1 - Boundary value problems on manifolds with exits to infinity T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Pseudodifferential operators on manifolds with corners T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Savin, Anton A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - Elliptic operators in subspaces T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang T1 - Pseudo-differential Crack Theory T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2000 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Tarkhanov, Nikolai Nikolaevich T1 - Asymptotics of solutions to elliptic equatons on manifolds with corners N2 - We show an explicit link between the nature of a singular point and behaviour of the coefficients of the equation, under which formal asymptotic expansions are still available. T3 - Preprint - (2000) 05 Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25716 ER - TY - INPR A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang A1 - Witt, Ingo T1 - Coordinate invariance of the cone algebra with asymptotics N2 - 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. T3 - Preprint - (2000) 01 Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25671 ER - TY - INPR A1 - Nazaikinskii, Vladimir A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris T1 - Quantization methods in differential equations : Part II: Quantization by the method of ordered operators (Noncommutative Analysis) : Chapter 1: Noncommutative Analysis: Main Ideas, Definitions, and Theorems N2 - Content: 0.1 Preliminary Remarks Chapter 1: Noncommutative Analysis: Main Ideas, Definitions, and Theorems 1.1 Functions of One Operator (Functional Calculi) 1.2 Functions of Several Operators 1.3 Main Formulas of Operator Calculus 1.4 Main Tools of Noncommutative Analysis 1.5 Composition Laws and Ordered Representations T3 - Preprint - (2000) 11 Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25762 ER - TY - INPR A1 - Savin, Anton A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris T1 - Elliptic operators in subspaces N2 - We construct elliptic theory in the subspaces, determined by pseudodifferential projections. The finiteness theorem as well as index formula are obtained for elliptic operators acting in the subspaces. Topological (K-theoretic) aspects of the theory are studied in detail. T3 - Preprint - (2000) 04 KW - pseudodifferential subspaces KW - elliptic operators in subspaces KW - Fredholm property KW - index KW - K-theory KW - problem of classification Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25701 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Nazaikinskii, Vladimir E. A1 - Sternin, Boris T1 - On the homotopy classification of elliptic operators on manifolds with singularities N2 - We study the homotopy classification of elliptic operators on manifolds with singularities and establish necessary and sufficient conditions under which the classification splits into terms corresponding to the principal symbol and the conormal symbol. T3 - Preprint - (1999) 21 KW - elliptic operators KW - homotopy classification KW - manifold with singularities KW - Atiyah-Singer theorem Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25574 ER - TY - INPR A1 - Nazaikinskii, Vladimir A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris T1 - Quantization and the wave packet transform T3 - Preprint - (1999) 08 Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25447 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Shlapunov, Alexander A1 - Tarkhanov, Nikolai Nikolaevich T1 - Regularisation of mixed boundary problems N2 - We show an application of the spectral theorem in constructing approximate solutions of mixed boundary value problems for elliptic equations. T3 - Preprint - (1999) 09 Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25454 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Savin, Anton A1 - Sternin, Boris T1 - Elliptic operators in subspaces and the eta invariant N2 - The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces. T3 - Preprint - (1999) 14 KW - index of elliptic operators in subspaces KW - K-theory KW - eta-invariant KW - mod k index KW - Atiyah-Patodi-Singer theory Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25496 ER - TY - INPR A1 - Schrohe, Elmar A1 - Schulze, Bert-Wolfgang T1 - Edge-degenerate boundary value problems on cones N2 - We consider edge-degenerate families of pseudodifferential boundary value problems on a semi-infinite cylinder and study the behavior of their push-forwards as the cylinder is blown up to a cone near infinity. We show that the transformed symbols belong to a particularly convenient symbol class. This result has applications in the Fredholm theory of boundary value problems on manifolds with edges. T3 - Preprint - (1999) 06 Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25436 ER - TY - INPR A1 - Fedosov, Boris A1 - Schulze, Bert-Wolfgang A1 - Tarkhanov, Nikolai Nikolaevich T1 - A general index formula on tropic manifolds with conical points N2 - We solve the index problem for general elliptic pseudodifferential operators on toric manifolds with conical points. T3 - Preprint - (1999) 15 Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25501 ER - TY - INPR A1 - Schulze, Bert-Wolfgang A1 - Tarkhanov, Nikolai Nikolaevich T1 - Ellipticity and parametrices on manifolds with caspidal edges T3 - Preprint - (1999) 04 Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25411 ER - TY - BOOK A1 - Rabinovich, Vladimir A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Boundary value problems in domains with corners T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - The Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singularities Y1 - 1999 SN - 0002-3264 SN - 0869-5652 ER - TY - JOUR A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Spectral boundary value problems and elliptic equations on manifolds with singularities Y1 - 1999 SN - 0002-3264 SN - 0869-5652 ER - TY - JOUR A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - Quantizational of canonical transformations on manifolds with conical singularities Y1 - 1999 SN - 0002-3264 SN - 0869-5652 ER - TY - JOUR A1 - Nazajkinskij, Vladimir E. A1 - Sternin, Boris Ju. A1 - Schulze, Bert-Wolfgang T1 - The index of quantized contact transformations on manifolds with conical singularities Y1 - 1999 SN - 0002-3264 SN - 0869-5652 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On the index of elliptic operators on manifolds with conical singularities Y1 - 1999 SN - 0002-3264 SN - 0869-5652 ER - TY - JOUR A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - The Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities Y1 - 1999 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. A1 - Satalov, Viktor E. T1 - On boundary value problems for elliptic equations Y1 - 1999 SN - 0002-3264 SN - 0869-5652 ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Nazajkinskij, Vladimir E. A1 - Sternin, Boris Ju. T1 - On the homotopy classification of elliptic operators on manifolds with singularities T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Savin, Anton A1 - Sternin, Boris Ju. T1 - The homotopy classification and the index of boundary value problems for general elliptic operators T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - Quantization and the wave packet transform T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schulze, Bert-Wolfgang T1 - The trajectory attractor for a nonlinear elliptic system in a cylindrical domain with piecewise smooth boundary JF - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Slapunov, Aleksandr A. A1 - Tarchanov, Nikolaj N. T1 - Regularisation of mixed boundary problems T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Nazajkinskij, Vladimir E. A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - Quantization of Lagrangian modules T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang T1 - An algebra of boundary value problems not requiring Shapiro-Lopatinskij conditions T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang T1 - Pseudo-differential calculus and applications to non-smooth configurations T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Ellipticity and parametrices on manifolds with cuspidal edges T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schrohe, Elmar A1 - Schulze, Bert-Wolfgang T1 - Edge-degenerate boundary value problems on cones T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Elliptic complexes of pseudodifferential operators on manifolds with edges Y1 - 1999 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Ellipticity and parametrices on manifolds with cuspidal edges Y1 - 1999 ER - TY - JOUR A1 - Fedosov, Boris V. A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - The index of elliptic operators on manifolds with conical points Y1 - 1999 ER - TY - JOUR A1 - Savin, Anton A1 - Schulze, Bert-Wolfgang A1 - Sternin, Boris Ju. T1 - On the invariant index formulas for spectral boundary value problems Y1 - 1999 ER - TY - JOUR A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - The Riemann-Roch theorem for manifolds with conical singularities Y1 - 1999 ER - TY - JOUR A1 - Fedosov, Boris V. A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - On the index formula for singular surfaces Y1 - 1999 ER - TY - JOUR A1 - Schrohe, Elmar A1 - Schulze, Bert-Wolfgang T1 - Mellin and Green symbols for boundary value problems on manifolds with edges Y1 - 1999 ER - TY - BOOK A1 - Schulze, Bert-Wolfgang T1 - Operator algebras with symbol hierarchies on manifolds with singularities T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 1999 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schulze, Bert-Wolfgang T1 - Iterated asymptotics on corner manifolds Y1 - 1999 ER -