Majorization Formulas for a Biharmonic Function of Two Variables.

Abstract

Biharmonic functions are much used in the theory of elastic solids. A problem of long standing has been to produce a formula involving only the boundary conditions which gives a bound for the value of a biharmonic function in the interior of a region. Using results of Miranda, this problem is solved if the region is a circle or rectangle. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA063977

Entities

People

  • J. Barkley Rosser

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Biharmonic Functions
  • Boundaries
  • Classification
  • Complex Variables
  • Conformal Mapping
  • Continuity
  • Curvature
  • Geometric Forms
  • Geometry
  • Hypotheses
  • Lines (Geometry)
  • Mathematics
  • Military Research
  • North Carolina
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Statistical inference.
  • Structural Dynamics.