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Operator Methods for Boundary Value Problems (London Mathematical Society Lecture Note Series, Series Number 404) - Softcover
Synopsis
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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Book Description
This accessible volume presents articles by leading researchers on different approaches to extension theory and spectral theory by means of the recent notions of boundary triplets and relations. These new operator-theoretic methods for boundary value problems will appeal to a wide range of researchers, students and professionals.
About the Author
Seppo Hassi is a Professor of Mathematics at the University of Vaasa, having previously worked at the University of Helsinki. His main research interests are in operator and spectral theory and applications in analysis and mathematical physics.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2012
- ISBN 10 110760611X
- ISBN 13 9781107606111
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages309
- EditorHassi Seppo, De Snoo Hendrik S. V., Szafraniec Franciszek Hugon
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Operator Methods for Boundary Value Problems: 404 (London Mathematical Society Lecture Note Series, Series Number 404)
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Operator Methods for Boundary Value Problems (London Mathematical Society Lecture Note Series, Series Number 404)
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Operator Methods for Boundary Value Problems (Paperback)
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Paperback. Condition: new. Paperback. 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. This accessible volume presents articles by leading researchers on different approaches to extension theory and spectral theory by means of the recent notions of boundary triplets and relations. These new operator-theoretic methods for boundary value problems will appeal to a wide range of researchers, students and professionals. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107606111
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