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: Nonlocal Diffusion and Applications
  name:
    name part: Bucur, Claudia.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Valdinoci, Enrico.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 155 p. 26 illus., 23 illus. in color. online resource.
  abstract: Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance.
  note: by Claudia Bucur, Enrico Valdinoci.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Integral transforms
  subject:
    topic: Operational calculus
  subject:
    topic: Partial differential equations
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Integral Transforms, Operational Calculus
  subject:
    topic: Functional Analysis
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes of the Unione Matematica Italiana, 20
  identifier: 9783319287393
  identifier: http://dx.doi.org/10.1007/978-3-319-28739-3
  record info:
    record creation date: 160408
    record change date: 20171004141633.0
    record identifier: 978-3-319-28739-3