Constructive Function Theoretic Methods for Higher Order Pseudoparabolic Equations.

Abstract

In this paper the approach to higher order, elliptic partial differential equations in the plane is extended to the cases of meta and pseudoparabolic equations. The method makes use of a generalization of the Riemann function associated with the complex hyperbolic equation obtained by analytic continuation. A fundamental solution is obtained whose Taylor (Laurent) expansion in powers of the time has as its first term the classical fundamental solution of Vekua. Integral representations are obtained for the initial boundary value problems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA037671

Entities

People

  • G. C. Hsiao
  • Robert P. Gilbert

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Equations
  • Integrals
  • Mathematics
  • New York
  • Partial Differential Equations
  • Scientific Research

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis