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: Concentration Analysis and Applications to PDE
    sub title: ICTS Workshop, Bangalore, January 2012
  name:
    name part: Adimurthi, .
    role:
      role term: editor.
  name:
    name part: Sandeep, K.
    role:
      role term: editor.
  name:
    name part: Schindler, Ian.
    role:
      role term: editor.
  name:
    name part: Tintarev, Cyril.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 156 p. 119 illus., 1 illus. in color. online resource.
  abstract: Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class of invariances than the original Euclidean rescalings and has a broad scope of applications to PDE. The book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications to elliptic and evolution PDEs, as well as a systematic functional-analytic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings.
  table of contents: Introduction -- On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding -- A Class of Second-order Dilation Invariant Inequalities -- Blow-up Solutions for Linear Perturbations of the Yamabe Equation -- Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space -- The Lyapunov–Schmidt Reduction for Some Critical Problems -- A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov–Schmidt’s Finite-dimensional Reduction -- Concentration Analysis and Cocompactness -- A Note on Non-radial Sign-changing Solutions for the Schrödinger–Poisson Problem in the Semiclassical Limit.
  note: edited by Adimurthi, K. Sandeep, Ian Schindler, Cyril Tintarev.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Global Analysis and Analysis on Manifolds
  subject:
    topic: Functional Analysis
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Trends in Mathematics
  identifier: 9783034803731
  identifier: http://dx.doi.org/10.1007/978-3-0348-0373-1
  record info:
    record creation date: 131122
    record change date: 20151030051127.0
    record identifier: 978-3-0348-0373-1