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: Nonlinear theory of pseudodifferential equations on a half-line
  name:
    name part: Hayashi, Nakao.
    role:
      role term: creator
  name:
    name part: Kaikina, Elena.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: Boston
    publisher: Elsevier
    date issued: 2004
    edition: 1st ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xix, 340 pages)
  abstract: This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both local and nonlocal. For the first time the definition of pseudodifferential operator on a half-line and a segment is done A wide class of nonlinear nonlocal and local equations is considered Developed theory is general and applicable to different equations The book is written clearly, many examples are considered Asymptotic formulas can be used for numerical computations by engineers and physicists The authors are recognized experts in the nonlinear wave phenomena.
  table of contents: Introduction -- 1 Preliminaries -- 2 Sobolev spaces -- 3 General Theory -- 4 Nonlinear Schrodinger Type Equations -- 5 Whitham Equation -- 6 Korteweg-de Vries-Burgers Equation -- 7 Large Initial Data -- 8 KdV-B Type Equation -- 9 Dirichlet Problem for KdV Equation -- 10 Neumann Problem for KdV Equation -- 11 Landau-Ginzburg Equations -- 12 Burgers Equation with Pumping -- 13 KdVB Equation on a Segment -- 14 NLS Equation on Segment -- 15 Periodic Problem -- Bibliography -- Index.
  note: Nakao Hayashi and Elena Kaikina.
  note: Includes bibliographical references and index.
  note: English.
  subject:
    topic: Evolution equations, Nonlinear
  subject:
    topic: Pseudodifferential operators
  subject:
    topic: Équations d'évolution non linéaires
  subject:
    topic: Opérateurs pseudo-différentiels
  subject:
    topic: Evolution equations, Nonlinear
  subject:
    topic: Pseudodifferential operators
  classification: QA377 .H393 2004eb
  classification: 515/.353
  related item:
    title info:
      title: Nonlinear theory of pseudodifferential equations on a half-line
    name:
      name part: Hayashi, Nakao.
    origin info:
      publisher: Amsterdam ; Boston : Elsevier, 2004
      edition: 1st ed.
    identifier: (OCoLC)53939180
  related item:
    title info:
      title: North-Holland mathematics studies ; 194
  identifier: 9780444515698
  identifier: 0444515690
  identifier: 108383:108428 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 070806
    record change date: 20260326151829.9
    record identifier: in00005733065
    language of cataloging:
      language term: eng