Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular p...

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Main Authors: Maz’ya, Vladimir, Nazarov, Serguei (Author), Plamenevskij, Boris A. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Basel Birkhäuser Basel 2000, 2000
Series:Operator Theory, Advances and Applications
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • V Boundary Value Problems in Domains Perturbed Near Multidimensional Singularities of the Boundary
  • 11 Boundary Value Problems in Domains with Edges on the Boundary
  • 12 Asymptotics of Solutions to Classical Boundary Value Problems in a Domain with Thin Cavities
  • 13 Asymptotics of Solutions to the Dirichlet Problem for High Order Equations in a Domain with a Thin Tube Excluded
  • VI Behaviour of Solutions of Boundary Value Problems in Thin Domains
  • 14 The Dirichlet Problem in Domains with Thin Ligaments
  • 15 Boundary Value Problems of Mathematical Physics in Thin Domains
  • 16 General Elliptic Problems in Thin Domains
  • VII Elliptic Boundary Value Problems with Oscillating Coefficients or Boundary of Domain
  • 17 Elliptic Boundary Value Problems with Rapidly Oscillating Coefficients
  • 18 Paradoxes of Limit Passage in Solutions of Boundary Value Problems When Smooth Domains Are Approximated by Polygons
  • 19 Homogenization of a Differential Operator on a Fine Periodic Net o