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: Solution of continuous nonlinear PDEs through order completion
  name:
    name part: Oberguggenberger, Michael B.
    role:
      role term: creator
  name:
    name part: Rosinger, Elemer E.
  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: New York
    publisher: North-Holland
    date issued: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xvi, 432 pages) : illustrations
  abstract: This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furthermore the right hand term of such nonlinear PDEs can in fact be given any discontinuous and measurable function.
  table of contents: pt. 1. General existence of solutions theory -- pt. 2. Applications to specific classes of nonlinear and linear PDEs -- pt. 3. Group invariance of global generalized solutions of nonlinear PDEs.
  note: Michael B. Oberguggenberger, Elemér E. Rosinger.
  note: Includes bibliographical references (pages 421-428) and index.
  subject:
    topic: Differential equations, Nonlinear
    topic: Numerical solutions
  subject:
    topic: Équations différentielles non linéaires
    topic: Solutions numériques
  subject:
    topic: MATHEMATICS
    topic: Differential Equations
    topic: Partial
  subject:
    topic: Differential equations, Nonlinear
    topic: Numerical solutions
  subject:
    topic: Partiële differentiaalvergelijkingen
  subject:
    topic: Niet-lineaire vergelijkingen
  subject:
    topic: Equations différentielles non linéaires
    topic: Solutions numériques
  subject:
    topic: Differential equations
  classification: QA372 .O33 1994eb
  classification: 515/.353
  related item:
    title info:
      title: Solution of continuous nonlinear PDEs through order completion
    name:
      name part: Oberguggenberger, Michael B.
    origin info:
      publisher: Amsterdam ; New York : North-Holland, 1994
    identifier: (DLC) 94019266
    identifier: (OCoLC)30546288
  related item:
    title info:
      title: North-Holland mathematics studies ; 181
  identifier: 9780444820358
  identifier: 0444820353
  identifier: 9780080872926
  identifier: 0080872921
  identifier: 128198471X
  identifier: 9781281984715
  identifier: 94019266
  identifier: 126118:126454 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 090320
    record change date: 20260326161527.2
    record identifier: in00005737200
    language of cataloging:
      language term: eng