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Operator Methods for Boundary Value Problems.
・ISBN 978-1-107-60611-1 paper GB£ 59.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-139-13506-1
| 著者・編者 | Hassi, Seppo / de Snoo, Hendrik S. V. / Szafraniec, Franciszek Hugon (eds.), |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2012 |
| ページ数 | 309 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9157＞ |
解説
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.