Random Field Satisfying a Linear Partial Differential Equation with Random Forcing Term.
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
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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
- Statistics and Probability