Accession Number : ADA141886

Title :   Random Field Satisfying a Linear Partial Differential Equation with Random Forcing Term.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : DEBrucq,D ; Oliver,C

PDF Url : ADA141886

Report Date : Jan 1984

Pagination or Media Count : 26

Abstract : The authors first solve the equation dX + aXdt = dN, where dN represents a Poisson process, and then generalize to a Levy process. Finally, they solve a linear partial differential equation DX = dL in strong distribution, meaning that the second member dL is a distribution process, generalization of Levy process on R. The results are then applied to wave propagation in underwater acoustics, and spatial correction is determined. (Author)

Descriptors :   *Linear differential equations, *Partial differential equations, *Wave propagation, *Underwater acoustics, Acoustic waves, Poisson equation, Fourier transformation, Random variables, Covariance, Linearity, Operators(Mathematics)

Subject Categories : Statistics and Probability
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE