Boundary Value Problems with Global Projection Conditions
Language: English
Published by Springer International Publishing, 2018
Series: Book 116 of 132 - Operator Theory: Advances and Applications
- Hardcover
- New
Condition: New
£ 80.30
Quantity: Over 20 available
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents the notion of ellipticity with an unification of Shapiro-Lopatinskij elliptic and global projection boundary conditionsDiscusses spectral boundary conditions for elliptic differential operatorsDescribes Toeplitz-type operators on m.
Seller Inventory # 173950096
- Title
- Boundary Value Problems with Global Projection Conditions
- Author
- Xiaochun Liu|Bert-Wolfgang Schulze
- Publisher
- Springer International Publishing
- Publication year
- 2018
- Condition
- New
- Binding
- Gebunden
- Language
- English
- ISBN 10
- 3319701134
- ISBN 13
- 9783319701134
- Series
- Book 116 of 132: Operator Theory: Advances and Applications
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
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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