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.

Report Date:

1984-01-01

Pagination or Media Count:

26.0

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