Accession Number : AD0262025

Title :   THE CAUCHY PROBLEM FOR PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER AND THE METHOD OF ASCENT

Corporate Author : LIEGE UNIV (BELGIUM)

Personal Author(s) : BUREAU,F.J.

Report Date : MAY 1961

Pagination or Media Count : 1

Abstract : A method of ascent is used to solve the Cauchy problem for linear partial differential equations of the second order in p space variables with constant coefficients i.e., the pure wave equation, the damped wave equation, and the heat equation. This method consists of inferring the solution of the problem referred to from the well known solution of the same problem for one space variable. The commutability of repeated pf integral, the solution deduced by the method of singularities for the Cauchy problem for the damped wave equation, and the solution of singular integral equations of the Volterra type are also considered. (Author)

Descriptors :   *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS, INTEGRAL EQUATIONS, POLYNOMIALS, SERIES(MATHEMATICS), THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE