TY - BOOK A1 - Abed, Jamil A1 - Schulze, Bert-Wolfgang T1 - Operators with Corner-degenerate Symbols T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2008 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Albeverio, Sergio A1 - Demuth, Michael A1 - Schrohe, Elmar A1 - Schulze, Bert-Wolfgang T1 - Parabolicity, volterra calculus, and conical singularities : a volume of advances in partial differential equations T3 - Operator theory : advances and applications Y1 - 2002 SN - 3-7643-6906-x VL - 138 PB - Birkhäuser Verl. CY - Basel ER - TY - JOUR A1 - Buchholz, Thilo A1 - Schulze, Bert-Wolfgang T1 - Anisotropic edges pseudo-differential operators withdiscrete asymptotics Y1 - 1997 ER - TY - BOOK A1 - Buchholz, Thilo A1 - Schulze, Bert-Wolfgang T1 - Volterra operators and parabolicity : anisotropic pseudo-differential operators T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1998 VL - 1998, 11 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Burenkov, V. A1 - Schulze, Bert-Wolfgang A1 - Tarchanov, Nikolaj N. T1 - Extension operators for sobolev spaces commuting with a given transform Y1 - 1998 ER - TY - BOOK A1 - Calvo, D. A1 - Martin, Calin-Iulian A1 - Schulze, Bert-Wolfgang T1 - Symbolic Structures on Corner Manifolds T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2004 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Calvo, D. A1 - Schulze, Bert-Wolfgang T1 - Operators on Corner Manifolds with Exit to Infinity T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2005 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Chang, D. -C. A1 - Schulze, Bert-Wolfgang T1 - Calculus on spaces with higher singularities JF - Journal of pseudo-differential operators and applications N2 - We establish extensions of the standard pseudo-differential calculus to specific classes of operators with operator-valued symbols occurring in symbolic hierarchies motivated by manifolds with higher singularities or stratified spaces. KW - Pseudo-differential operators KW - Operator-valued symbols KW - Fourier and Mellin transform Y1 - 2017 U6 - https://doi.org/10.1007/s11868-016-0180-x SN - 1662-9981 SN - 1662-999X VL - 8 SP - 585 EP - 622 PB - Springer CY - Basel ER - TY - JOUR A1 - Chang, D. -C. A1 - Viahmoudi, M. Hedayat A1 - Schulze, Bert-Wolfgang T1 - PSEUDO-DIFFERENTIAL ANALYSIS WITH TWISTED SYMBOLIC STRUCTURE JF - Journal of nonlinear and convex analysis : an international journal N2 - This paper is devoted to pseudo-differential operators and new applications. We establish necessary extensions of the standard calculus to specific classes of operator-valued symbols occurring in principal symbolic hierarchies of operators on manifolds with singularities or stratified spaces. KW - Pseudo-differential operators KW - boundary value problems KW - operator valued symbols KW - Fourier transform Y1 - 2016 SN - 1345-4773 SN - 1880-5221 VL - 17 SP - 1889 EP - 1937 PB - Yokohama Publishers CY - Yokohama ER - TY - JOUR A1 - Chang, Der-Chen A1 - Habal, Nadia A1 - Schulze, Bert-Wolfgang T1 - The edge algebra structure of the Zaremba problem JF - Journal of pseudo-differential operators and applications N2 - We study mixed boundary value problems, here mainly of Zaremba type for the Laplacian within an edge algebra of boundary value problems. The edge here is the interface of the jump from the Dirichlet to the Neumann condition. In contrast to earlier descriptions of mixed problems within such an edge calculus, cf. (Harutjunjan and Schulze, Elliptic mixed, transmission and singular crack problems, 2008), we focus on new Mellin edge quantisations of the Dirichlet-to-Neumann operator on the Neumann side of the boundary and employ a pseudo-differential calculus of corresponding boundary value problems without the transmission property at the interface. This allows us to construct parametrices for the original mixed problem in a new and transparent way. Y1 - 2014 U6 - https://doi.org/10.1007/s11868-013-0088-7 SN - 1662-9981 SN - 1662-999X VL - 5 IS - 1 SP - 69 EP - 155 PB - Springer CY - Basel ER -