Operator Methods for Boundary Value Problems
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Operator Methods for Boundary Value Problems
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Description
Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are analytic tools such as Weyl functions, including Titchmarsh-Weyl m-functions and Dirichlet-to-Neumann maps. A wide range of topics is considered in this context from the abstract to the applied, including boundary value problems for ordinary and partial differential equations; infinite-dimensional perturbations; local point-interactions; boundary and passive control state/signal systems; extension theory of accretive, sectorial and symmetric operators; and Calkin's abstract boundary conditions. This accessible treatment of recent developments, written by leading researchers, will appeal to a broad range of researchers, students and professionals.
Product details
- Type:
- Book
- Binding:
- Paperback
- Edition:
- Illustrated
- Languages:
-
Original:
English
- Number of Pages:
-
312
- Publisher:
-
Cambridge University Press
- Publication Date:
-
2012-10-11
- Release Date:
-
2008-08-21
- ISBN / EAN:
-
978052102514097805216440449781107606111
- Weight:
-
455 g
- Dimensions:
-
15/23/2 cm
- GPSR Manufacturer Reference:
-
[email protected]
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