Integral Operators for Fourth Order Linear Parabolic Equations.

Abstract

Integral operators in the sense of S. Bergman and I. N. Vekna have been used extensively to represent and study analytic solutions of elliptic partial differential equations. The corresponding tool for parabolic equations would map analytic functions of two variables onto analytic solutions and would be valuable for investigating the analytic behavior of these solutions. In this paper a Colton-Bergman operator is constructed which maps analytic functions of two variables to solutions of a fourth order parabolic equation in two space variables.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
ADA006919

Entities

People

  • Patrick M. Brown

Organizations

  • Indiana University Bloomington

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Cooperation
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space