Biharmonic Functions on Riemannian Spaces with Applications to Elasticity.

Abstract

In this report the author investigates biharmonic functions, that is, solutions of the elliptic partial differential equation Delta squared u = O, establishing for them reproducing and extremal properties. Biharmonic principal functions are constructed and used to represent solutions of boundary value problems arising in the theory of the bending of thin plates. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0723423

Entities

People

  • Jon Anthony Rader

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Biharmonic Functions
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Elastic Properties
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Orbital Debris