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

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)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA141886

Entities

People

  • C. Oliver
  • D. Debrucq

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Covariance
  • Data Science
  • Differential Equations
  • Equations
  • Gaussian Processes
  • Information Science
  • Military Research
  • North Carolina
  • Numbers
  • Partial Differential Equations
  • Probability
  • Random Variables
  • Stationary Processes
  • Statistical Analysis
  • Statistics
  • Stochastic Processes
  • Underwater Acoustics

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Mathematical Modeling and Probability Theory.