Abstract and Computational Study of Positive Linear Equations of Mathematical Physics,

Abstract

An introduction of a class of stationary problems, corresponding to noncoercive (and not self-adjoint) boundary value problems is presented along with numerical approximation of these problems, and examples. A study of corresponding evolution equations; existence of strong solutions satisfying the energy inequality, equivalence between weak and strong solutions, regularity, and numerical approximation is also presented. This theory can be applied, in particular, to mixed boundary problems for Friedrichs systems, and to the transport equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1971
Accession Number
AD0748861

Entities

People

  • Paul Kree

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boltzmann Equation
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Inequalities
  • Mathematics
  • Personal Information Managers
  • Stationary
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis