rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Semigroups, Boundary Value Problems and Markov Processes
  name:
    name part: Taira, Kazuaki.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2004
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xi, 340 pages)
  abstract: The purpose of this book is to provide a careful and accessible account along modern lines of the subject which the title deals, as well as to discuss problems of current interest in the field. More precisely this book is devoted to the functional-analytic approach to a class of degenerate boundary value problems for second-order elliptic integro-differential operators which includes as particular cases the Dirichlet and Robin problems. This class of boundary value problems provides a new example of analytic semigroups. As an application, we construct a strong Markov process corresponding to such a diffusion phenomenon that a Markovian particle moves both by jumps and continuously in the state space until it dies at the time when it reaches the set where the particle is definitely absorbed.
  table of contents: Preface -- Introduction and Main Results -- Theory of Semigroups -- Markov Processes and Semigroups -- Theory of Distributions -- Theory of Pseudo-Differential Operators -- Appendix A Boundedness of Pseudo-Differential Operators -- Elliptic Boundary Value Problems -- Elliptic Boundary Value Problems and Feller Semigroups -- Appendix B Unique Solvability of Pseudo-Differential Operators -- Proof of Theorem 1 -- Proof of Theorem 2 -- A Priori Estimates -- Proof of Theorem 3 -- Proof of Theorem 4, Part (i) -- Proofs of Theorem 5 and Theorem 4, Part (ii) -- Boundary Value Problems for Waldenfels Operators -- Appendix C The Maximum Principle -- Bibliography -- Index of Symbols -- Subject Index.
  note: by Kazuaki Taira.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Harmonic analysis
  subject:
    topic: Functional analysis
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Distribution (Probability theory)
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Distribution (Probability theory)
  subject:
    topic: Functional analysis
  subject:
    topic: Harmonic analysis
  subject:
    topic: Mathematics
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer monographs in mathematics
  identifier: 9783662098578 (electronic bk.)
  identifier: 3662098571 (electronic bk.)
  identifier: 9783642073717
  identifier: 3642073719
  identifier: 3662098571
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130321
    record change date: 20260422223458.0
    record identifier: in00003562781
    language of cataloging:
      language term: eng