TY - CHAP A1 - Jacqmin, Julien A1 - Özdemir, Paker Doğu A1 - Fell Kurban, Caroline A1 - Tunç Pekkan, Zelha A1 - Koskinen, Johanna A1 - Suonpää, Maija A1 - Seng, Cheyvuth A1 - Carlon, May Kristine Jonson A1 - Gayed, John Maurice A1 - Cross, Jeffrey S. A1 - Langseth, Inger A1 - Jacobsen, Dan Yngve A1 - Haugsbakken, Halvdan A1 - Bethge, Joseph A1 - Serth, Sebastian A1 - Staubitz, Thomas A1 - Wuttke, Tobias A1 - Nordemann, Oliver A1 - Das, Partha-Pratim A1 - Meinel, Christoph A1 - Ponce, Eva A1 - Srinath, Sindhu A1 - Allegue, Laura A1 - Perach, Shai A1 - Alexandron, Giora A1 - Corti, Paola A1 - Baudo, Valeria A1 - Turró, Carlos A1 - Moura Santos, Ana A1 - Nilsson, Charlotta A1 - Maldonado-Mahauad, Jorge A1 - Valdiviezo, Javier A1 - Carvallo, Juan Pablo A1 - Samaniego-Erazo, Nicolay A1 - Poce, Antonella A1 - Re, Maria Rosaria A1 - Valente, Mara A1 - Karp Gershon, Sa’ar A1 - Ruipérez-Valiente, José A. A1 - Despujol, Ignacio A1 - Busquets, Jaime A1 - Kerr, John A1 - Lorenz, Anja A1 - Schön, Sandra A1 - Ebner, Martin A1 - Wittke, Andreas A1 - Beirne, Elaine A1 - Nic Giolla Mhichíl, Mairéad A1 - Brown, Mark A1 - Mac Lochlainn, Conchúr A1 - Topali, Paraskevi A1 - Chounta, Irene-Angelica A1 - Ortega-Arranz, Alejandro A1 - Villagrá-Sobrino, Sara L. A1 - Martínez-Monés, Alejandra A1 - Blackwell, Virginia Katherine A1 - Wiltrout, Mary Ellen A1 - Rami Gaddem, Mohamed A1 - Hernández Reyes, César Augusto A1 - Nagahama, Toru A1 - Buchem, Ilona A1 - Okatan, Ebru A1 - Khalil, Mohammad A1 - Casiraghi, Daniela A1 - Sancassani, Susanna A1 - Brambilla, Federica A1 - Mihaescu, Vlad A1 - Andone, Diana A1 - Vasiu, Radu A1 - Şahin, Muhittin A1 - Egloffstein, Marc A1 - Bothe, Max A1 - Rohloff, Tobias A1 - Schenk, Nathanael A1 - Schwerer, Florian A1 - Ifenthaler, Dirk A1 - Hense, Julia A1 - Bernd, Mike ED - Meinel, Christoph ED - Staubitz, Thomas ED - Schweiger, Stefanie ED - Friedl, Christian ED - Kiers, Janine ED - Ebner, Martin ED - Lorenz, Anja ED - Ubachs, George ED - Mongenet, Catherine ED - Ruipérez-Valiente, José A. ED - Cortes Mendez, Manoel T1 - EMOOCs 2021 N2 - From June 22 to June 24, 2021, Hasso Plattner Institute, Potsdam, hosted the seventh European MOOC Stakeholder Summit (EMOOCs 2021) together with the eighth ACM Learning@Scale Conference. Due to the COVID-19 situation, the conference was held fully online. The boost in digital education worldwide as a result of the pandemic was also one of the main topics of this year’s EMOOCs. All institutions of learning have been forced to transform and redesign their educational methods, moving from traditional models to hybrid or completely online models at scale. The learnings, derived from practical experience and research, have been explored in EMOOCs 2021 in six tracks and additional workshops, covering various aspects of this field. In this publication, we present papers from the conference’s Experience Track, the Policy Track, the Business Track, the International Track, and the Workshops. KW - e-learning KW - microcredential KW - MOOC KW - digital education KW - experience KW - online course design KW - online course creation KW - higher education Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-510300 SN - 978-3-86956-512-5 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - JOUR A1 - Chang, Der-Chen A1 - Khalil, Sara A1 - Schulze, Bert-Wolfgang T1 - Analysis on regular corner spaces JF - The journal of geometric analysis N2 - We establish a new approach of treating elliptic boundary value problems (BVPs) on manifolds with boundary and regular corners, up to singularity order 2. Ellipticity and parametrices are obtained in terms of symbols taking values in algebras of BVPs on manifolds of corresponding lower singularity orders. Those refer to Boutet de Monvel's calculus of operators with the transmission property, see Boutet de Monvel (Acta Math 126:11-51, 1971) for the case of smooth boundary. On corner configuration operators act in spaces with multiple weights. We mainly study the case of upper left entries in the respective 2 x 2 operator block-matrices of such a calculus. Green operators in the sense of Boutet de Monvel (Acta Math 126:11-51, 1971) analogously appear in singular cases, and they are complemented by contributions of Mellin type. We formulate a result on ellipticity and the Fredholm property in weighted corner spaces, with parametrices of analogous kind. KW - Boutet de Monvel's calculus KW - Pseudo-differential operators KW - Singular cones KW - Mellin symbols with values in the edge calculus KW - Parametrices of elliptic operators KW - Kegel space Y1 - 2021 U6 - https://doi.org/10.1007/s12220-021-00614-3 SN - 1050-6926 SN - 1559-002X VL - 31 IS - 9 SP - 9199 EP - 9240 PB - Springer CY - New York ER - TY - JOUR A1 - Khalil, Sara A1 - Schulze, Bert-Wolfgang T1 - Calculus on a Manifold with Edge and Boundary JF - Complex analysis and operator theory N2 - We study elements of the calculus of boundary value problems in a variant of Boutet de Monvel’s algebra (Acta Math 126:11–51, 1971) on a manifold N with edge and boundary. If the boundary is empty then the approach corresponds to Schulze (Symposium on partial differential equations (Holzhau, 1988), BSB Teubner, Leipzig, 1989) and other papers from the subsequent development. For non-trivial boundary we study Mellin-edge quantizations and compositions within the structure in terms a new Mellin-edge quantization, compared with a more traditional technique. Similar structures in the closed case have been studied in Gil et al. KW - algebra KW - Mellin quantization Y1 - 2019 U6 - https://doi.org/10.1007/s11785-018-0800-y SN - 1661-8254 SN - 1661-8262 VL - 13 IS - 6 SP - 2627 EP - 2670 PB - Springer CY - Basel ER - TY - THES A1 - Khalil, Sara T1 - Boundary Value Problems on Manifolds with Singularities T1 - Randwertprobleme auf Mannigfaltigkeiten mit Singularitäten N2 - In the thesis there are constructed new quantizations for pseudo-differential boundary value problems (BVPs) on manifolds with edge. The shape of operators comes from Boutet de Monvel’s calculus which exists on smooth manifolds with boundary. The singular case, here with edge and boundary, is much more complicated. The present approach simplifies the operator-valued symbolic structures by using suitable Mellin quantizations on infinite stretched model cones of wedges with boundary. The Mellin symbols themselves are, modulo smoothing ones, with asymptotics, holomorphic in the complex Mellin covariable. One of the main results is the construction of parametrices of elliptic elements in the corresponding operator algebra, including elliptic edge conditions. N2 - In der Dissertation wurden neue Quantisierungen konstruiert für pseudo-differentielle Randwertprobleme auf Mannigfaltigkeiten mit Kanten-Singularitäten. Die Gestalt der hier behandelten Operatoren ist motiviert durch Boutet de Monvels Kalkül, der auf glatten Mannigfaltigkeiten mit Rand bekannt ist. Der singuläre Fall, hier mit Kanten und Rand, ist weitaus komplizierter. Der gegenwärtige Zugang vereinfacht die operatarwertigen Symbolstrukturen unter Verwendung geeigneter Mellin-Quantisierungen auf unendlichen gestreckten Modell- Kegeln, die entsprechenden Keilen mit Rand zugeordnet sind. Die Mellin-Symbole selbst sind holomorph in der komplexen Mellin Kovariablen bis auf glättende Restglieder mit Asymptotiken. Zu den Hauptresultaten gehört die Konstruktion von Parametrices elliptischer Elemente in der erzeugten Operator-Algebra, einschließlich elliptischer Kanten-Bedingungen. KW - manifolds with singularities KW - boundary value problems KW - pseudo-differential equation KW - manifolds with edge KW - Boutet de Monvel's calculus KW - edge boundary value problems KW - Mannigfaltigkeiten mit Singularitäten KW - Randwertprobleme KW - pseudo-differentielle Gleichungen KW - Mannigfaltigkeiten mit Kante KW - Boutet de Monvels Kalkül KW - Kanten-Randwertprobleme Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-419018 ER - TY - JOUR A1 - Khalil, Sara A1 - Schulze, Bert-Wolfgang T1 - Boundary problems on a manifold with edge JF - Asian-European Journal of Mathematics N2 - We establish a calculus of boundary value problems (BVPs) on a manifold N with boundary and edge, based on Boutet de Monvel’s theory of BVPs in the case of a smooth boundary and on the edge calculus, where in the present case the model cone has a base which is a compact manifold with boundary. The corresponding calculus with boundary and edge is a unification of both structures and controls different operator-valued symbolic structures, in order to obtain ellipticity and parametrices. KW - manifolds with edge and boundary KW - distribution with asymptotics KW - ellipticity KW - Fredholm property Y1 - 2017 U6 - https://doi.org/10.1142/S1793557117500875 SN - 1793-5571 SN - 1793-7183 VL - 10 IS - 2 PB - World Scientific CY - Singapore ER -