Produktbild: Boundary Value Problems with Global Projection Conditions

Boundary Value Problems with Global Projection Conditions

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Operator Theory: Advances and Applications 265 – Advances in Partial Differential Equations

ISBN: 3319701134
ISBN 13: 9783319701134
Autor: Liu, Xiaochun/Schulze, Bert-Wolfgang
Verlag: Springer Basel AG
Umfang: xvi, 410 S.
Erscheinungsdatum: 08.11.2018
Auflage: 1/2019
Produktform: Gebunden/Hardback
Einband: Gebunden

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 spaces.

Artikelnummer: 2904846 Kategorie:

Beschreibung

Presents the notion of ellipticity with an unification of Shapiro-Lopatinskij elliptic and global projection boundary conditions Discusses spectral boundary conditions for elliptic differential operators Describes Toeplitz-type operators on manifolds with edge, including operators with/without transmission property

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