Boundary Value Problems with Global Projection Conditions
Language: English
Published by Birkhäuser, Palgrave Macmillan Nov 2018, 2018
Series: Book 116 of 132 - Operator Theory: Advances and Applications
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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 428 pp. Englisch.…
Seller Inventory # 9783319701134
- Title
- Boundary Value Problems with Global Projection Conditions
- Author
- Xiaochun Liu
- Publisher
- Birkhäuser, Palgrave Macmillan Nov 2018
- Publication year
- 2018
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3319701134
- ISBN 13
- 9783319701134
- Item weight
- 805 grams
- Dimensions
- 241x160x29 mm
- Series
- Book 116 of 132: Operator Theory: Advances and Applications
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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buchversandmimpf2000
Emtmannsberg, BAYE, Germany
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