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Boundary Value Problems with Global Projection Conditions (Advances in Partial Differential Equations, Band 265) - Softcover
Buch 116 von 132: Operator Theory: Advances and Applications
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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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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.
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Boundary Value Problems with Global Projection Conditions
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admitsglobal projection boundary conditions, giving rise to analogues of Toeplitz operators insubspaces 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. Artikel-Nr. 9783030099336
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Boundary Value Problems with Global Projection Conditions
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Taschenbuch. Zustand: Neu. Boundary Value Problems with Global Projection Conditions | Xiaochun Liu (u. a.) | Taschenbuch | Operator Theory: Advances and Applications | xvi | Englisch | 2018 | Birkhäuser | EAN 9783030099336 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Artikel-Nr. 117850731
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