Cauchy Flux and Sets of Finite Perimeter.

Abstract

A Cauchy flux Q is a real-valued, additive, area-bounded function whose domain is the class of all Borel subsets of the reduced boundary of sets of finite perimeter. If the flux Q is also volume bounded, it is shown that Q can be represented as the integral of the normal component of some vector field. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1983
Accession Number
ADA132834

Entities

People

  • William P. Ziemer

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Boundaries
  • Continuum Mechanics
  • Contracts
  • Energy
  • Geometry
  • Heat Transmission
  • Integrals
  • Mathematics
  • Measure Theory
  • North Carolina
  • Numbers
  • Physics
  • Theorems
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.