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: Periodic Homogenization of Elliptic Systems
  name:
    name part: Shen, Zhongwei.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 291 p. online resource.
  abstract: This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. The main body of the monograph investigates various interior and boundary regularity estimates that are uniform in the small parameter e>0. Additional topics include convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions. The monograph is intended for advanced graduate students and researchers in the general areas of analysis and partial differential equations. It provides the reader with a clear and concise exposition of an important and currently active area of quantitative homogenization.
  table of contents: Elliptic Systems of Second Order with Periodic Coeffcients -- Convergence Rates, Part I -- Interior Estimates -- Regularity for Dirichlet Problem -- Regularity for Neumann Problem -- Convergence Rates, Part II -- L2 Estimates in Lipschitz Domains.
  note: by Zhongwei Shen.
  subject:
    topic: Partial differential equations
  subject:
    topic: Probabilities
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Probability Theory and Stochastic Processes
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Advances in Partial Differential Equations, 269
  identifier: 9783319912141
  identifier: https://doi.org/10.1007/978-3-319-91214-1
  record info:
    record creation date: 180904
    record change date: 20191027152219.0
    record identifier: 978-3-319-91214-1