Operator Methods for Boundary Value Problems by Seppo Hassi, ... - 9781107606111
Operator Methods for Boundary Value ProblemsAuthor(s): Seppo Hassi, Hendrik S. V. de Snoo, Franciszek Hugon Szafraniec\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9781107606111, 978-1107606111\nSynopsis\nPresented 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 .
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