MPS-RR 2000-7
February 2000

Some regularity results for the stochastic pressure equation of Wick-type

by:

Fred Espen Benth, Thomas Gorm Theting

Abstract

We prove that the solution of the stochastic pressure equation of Wick-type belongs to a space of generalized random fields having square integrable homogeneous chaos kernels. We find the chaos expansion, and calculate its stochastic regularity in distributional sense. Furthermore, we show that the solution is stable under perturbations of the permeability field and the source term.

Availability: [ gzipped ps-file ] [ pdf-file ]

[ Help on down-loading/viewing/printing ]

This paper has now been published in Stochastic Anal. Appl. 20, 1191--1223 (2002)