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Elliptic boundary value problems on corner domains : smoothness and asymptotics of solutions /

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This research monograph focusses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, slits. In a natural functional framework (ordinary Sobolev Hilbert spaces) Fredholm and semi-Fredholm pr...

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Bibliographic Details
Main Author: Dauge, Monique, 1956-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1988]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1341.
Subjects:
Boundary value problems.
Differential equations, Elliptic.
Problèmes aux limites.
Équations différentielles elliptiques.
Randwaardeproblemen.
Elliptisches Randwertproblem.
Gebiet mit Ecken.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Generalities: Introduction. Preliminaries
  • Dirichlet Problem: Fredholm and Semi-Fredholm Results. Proofs. Two-dimensional Domains. Singularities Along the Edges. The Laplace Operator
  • Variational Boundary Value Problems: Variational Boundary Value Problems on Smooth Domains. Variational Boundary Value Problems on Polyhedral Domains
  • Appendices
  • References
  • Subject Index
  • Notation Index.