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Operator Methods for Boundary Value Problems (London Mathematical Society Lecture Note Series, nr. 404)

Editat de Seppo Hassi, Hendrik S. V. de Snoo, Franciszek Hugon Szafraniec
Notă GoodReads:
en Limba Engleză Paperback – 11 Oct 2012
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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Specificații

ISBN-13: 9781107606111
ISBN-10: 110760611X
Pagini: 309
Ilustrații: Illustrations
Dimensiuni: 152 x 226 x 15 mm
Greutate: 0.45 kg
Ediția: New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării: New York, United States

Cuprins

Preface; John Williams Calkin: a short biography S. Hassi, H. S. V. de Snoo and F. H. Szafraniec; 1. On Calkin's abstract symmetric boundary conditions S. Hassi and H. L. Wietsma; 2. Maximal accretive extensions of sectorial operators Yu. M. Arlinskii; 3. Boundary control state/signal systems and boundary triplets D. Z. Arov, M. Kurula and O. J. Staffans; 4. Passive state/signal systems and conservative boundary relations D. Z. Arov, M. Kurula and O. J. Staffans; 5. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triplets J. Behrndt and M. Langer; 6. Boundary triplets and Weyl functions. Recent developments V. A. Derkach, M. M. Malamud, S. Hassi and H. S. V. de Snoo; 7. Extension theory for elliptic partial differential operators with pseudodifferential methods G. Grubb; 8. Dirac structures and boundary relations S. Hassi, A. J. Van der Schaft, H. S. V. de Snoo and H. Zwart; 9. Naimark dilations and Naimark extensions in favour of moment problems F. H. Szafraniec.