ON SECOND-ORDER LINEAR EQUATIONS OF NON-NEGATIVE CHARACTERISTIC SHAPE,

Abstract

This paper gives a complete existence-uniqueness-regularity theory of the 'first boundary value problem' for the equation L(u) = a(superscript ij)(x) u(subscript ij) + b(superscript i)(x) u(subscript i) + c(x)u = f(x) (subscripts of u denote differentiation), where a(superscript ij)(x) xi(subscript i) xi(subscript j) = or > 0 for all x in the given domain, and all vectors xi.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0654561

Entities

People

  • O. A. Oleinik

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra