Regularity of the Solutions for Elliptic Problems on Nonsmooth Domains in R3. Part 1. Countably Normed Spaces on Polyhedral Domains.

Abstract

This is the first of a series of three devoted to the regularity of solution of elliptic problems on nonsmooth domains in R-cubed. The present paper introduces various weighted spaces and countably weighted spaces in neighborhood of edges and vertices of polyhedral domains. These well defined spaces are the foundations for comprehensive study of the regularity theory of elliptic problem with piecewise analytic date in R-cubed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1995
Accession Number
ADA301094

Entities

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  • Benqi Guo
  • Ivo Babuška

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  • University of Maryland

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  • Boundary Element Methods
  • Boundary Value Problems
  • Calculus Of Variations
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