Operator Methods for Boundary Value Problems
eBook - PDF

Operator Methods for Boundary Value Problems

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Operator Methods for Boundary Value Problems

About this book

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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Yes, you can access Operator Methods for Boundary Value Problems by Seppo Hassi,Hendrik S. V. de Snoo,Franciszek Hugon Szafraniec in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES
  3. Title
  4. Copyright
  5. Contents
  6. Contributors
  7. Preface
  8. Contents
  9. Contributors
  10. Preface
  11. 1 John Williams Calkin: a short biography
  12. 2 On Calkin’s abstract symmetric boundary conditions
  13. 3 Boundary triplets and maximal accretive extensions of sectorial operators
  14. 4 Boundary control state/signal systems and boundary triplets
  15. 5 Passive state/signal systems and conservative boundary relations
  16. 6 Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples
  17. 7 Boundary triplets and Weyl functions. Recent developments
  18. 8 Extension theory for elliptic partial differential operators with pseudodifferential methods
  19. 9 Dirac structures and boundary relations
  20. 10 Naǐmark dilations and Naǐmark extensions in favour of moment problems