Biharmonic and Potential Functions and Their Applications.

Abstract

The following theories were systematically developed: (1) Harmonic classification theory of Riemannian manifolds, (2) Quasiharmonic classification theory of Riemannian manifolds, (3) Theory of bounded biharmonic functions of Riemannian manifolds, (4) Dirichlet finite biharmonic functions, (5) Bounded Dirichlet finite biharmonic functions, (6) Riesz representation of biharmonic functions, (7) Green's functions of simply supported bodies, (8) Green's functions of clamped bodies. These theories were published in the 83 papers listed in Sections II-IV, and the research monograph described in Section V. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA045729

Entities

People

  • Leo Sario

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Biharmonic Functions
  • Boundaries
  • Boundary Value Problems
  • California
  • Classification
  • Continuum Mechanics
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Mathematics
  • Military Research
  • Partial Differential Equations
  • Students
  • Theses

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.