Operator methods for boundary value problems /
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| Imprint: | Cambridge, UK : Cambridge University Press, 2012. |
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| Description: | 1 online resource (309 pages) |
| Language: | English |
| Series: | London Mathematical Society lecture note series ; 404 London Mathematical Society lecture note series ; 404. |
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| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11831353 |
| Summary: | 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. |
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| Physical Description: | 1 online resource (309 pages) |
| ISBN: | 9781107606111 110760611X 9781283812337 1283812339 9781139552660 113955266X 9781139550154 1139550152 1139555111 9781139555111 9781139135061 1139135066 |