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.
| ISBN: | 9781107606111 |
| Publication date: | 11th October 2012 |
| Author: | Seppo University of Vaasa, Finland Hassi |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 309 pages |
| Series: | London Mathematical Society Lecture Note Series |
| Genres: |
Differential calculus and equations Mathematical physics Integral calculus and equations |
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.
Operator Methods for Boundary Value Problems features in the following genres: Differential calculus and equations, Mathematical physics, Integral calculus and equations
Operator Methods for Boundary Value Problems is available in Paperback
Operator Methods for Boundary Value Problems was written by Seppo University of Vaasa, Finland Hassi and published by Cambridge University Press
Operator Methods for Boundary Value Problems has 309 pages
Yes it is part of London Mathematical Society Lecture Note Series series
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