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Boundary Value Problems with Global Projection Conditions / by Xiaochun Liu, Bert-Wolfgang Schulze

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Advances in Partial Differential Equations ; 265 | Springer eBook Collection | SpringerLink BücherPublisher: Cham : Springer International Publishing, 2018Description: Online-Ressource (XVI, 410 p, online resource)ISBN:
  • 9783319701141
Subject(s): Additional physical formats: 9783319701134 | 9783319701158 | Printed edition: 9783319701134 | Printed edition: 9783319701158 | Erscheint auch als: Boundary value problems with global projection conditions. Druck-Ausgabe Cham, Switzerland : Birkhäuser, 2018. xvi, 410 SeitenDDC classification:
  • 515.353
MSC: MSC: *35-02 | 58J32 | 35B30 | 35SxxRVK: RVK: SK 620LOC classification:
  • QA370-380
DOI: DOI: 10.1007/978-3-319-70114-1Online resources: Summary: This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spacesSummary: Introduction -- Boundary Value Problems with Global Projection Conditions -- Edge Operators with Global Projection Conditions -- BVPs without the Transmission PropertyPPN: PPN: 1038688922Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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