Application of the Riesz Potential to the Cauchy Problem for Wave: Propagation in an Inhomogeneous Medium

Abstract

The method of Riesz for the solution of hyperbolic partial differential equations is applied to the Cauchy problem for the wave equation. It is shown that the first term in the Riesz potential function, which is represented in series form, yields the geometrical acoustics solution when applied to the problem of radiation from a point source.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1957
Accession Number
AD1114139

Entities

People

  • L. A. Lopes

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Acoustics
  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • California
  • Cauchy Problem
  • Complex Variables
  • Coordinate Systems
  • Delta Functions
  • Differential Equations
  • Equations
  • Geodesics
  • Geometry
  • Integrals
  • Partial Differential Equations
  • Theorems
  • Three Dimensional
  • Travel Time
  • Two Dimensional
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Powder metallurgy of Titanium alloys.
  • Wave Propagation and Nonlinear Chaotic Dynamics.