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: Partial Differential Equations
    sub title: Second Edition
  name:
    name part: DiBenedetto, Emmanuele.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XX, 389 p. 19 illus. online resource.
  abstract: This self-contained textbook offers an elementary introduction to partial differential equations (PDEs), primarily focusing on linear equations, but also providing a perspective on nonlinear equations, through Hamilton--Jacobi equations, elliptic equations with measurable coefficients and DeGiorgi classes. The exposition is complemented by examples, problems, and solutions that enhance understanding and explore related directions. Large parts of this revised second edition have been streamlined and rewritten to incorporate years of classroom feedback, correct misprints, and improve clarity. The work can serve as a text for advanced undergraduates and graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference for applied mathematicians and mathematical physicists. The newly added three last chapters, on first order non-linear PDEs (Chapter 8), quasilinear elliptic equations with measurable coefficients (Chapter 9) and DeGiorgi classes (Chapter 10), point to issues and directions at the forefront of current investigations. Reviews of the first edition: The author's intent is to present an elementary introduction to PDEs... In contrast to other elementary textbooks on PDEs . . . much more material is presented on the three basic equations: Laplace's equation, the heat and wave equations. . . . The presentation is clear and well organized. . . . The text is complemented by numerous exercises and hints to proofs. ---Mathematical Reviews This is a well-written, self-contained, elementary introduction to linear, partial differential equations. ---Zentralblatt MATH.
  table of contents: Preliminaries -- Quasi-Linear Equations and the Cauchy#x2013;Kowalewski Theorem -- The Laplace Equation -- Boundary Value Problems by Double-Layer Potentials -- Integral Equations and Eigenvalue Problems -- The Heat Equation -- The Wave Equation -- Quasi-Linear Equations of First-Order -- Non-Linear Equations of First-Order -- Linear Elliptic Equations with Measurable Coefficients -- DeGiorgi Classes.
  note: by Emmanuele DiBenedetto.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Fourier analysis
  subject:
    topic: Integral equations
  subject:
    topic: Partial differential equations
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Fourier Analysis
  subject:
    topic: Difference and Functional Equations
  subject:
    topic: Integral Equations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Cornerstones
  identifier: 9780817645526
  identifier: http://dx.doi.org/10.1007/978-0-8176-4552-6
  record info:
    record creation date: 100301
    record change date: 20151204173951.0
    record identifier: 978-0-8176-4552-6