Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum-Reference-Cited by-同舟云学术

Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum

Published:2021-12-07 Issue:0 Volume:105 Page:113-136
ISSN:0094-9000
Container-title:Theory of Probability and Mathematical Statistics
language:en
Short-container-title:Theor. Probability and Math. Statist.

Author:

Soize C.

Abstract

This paper presents a construction and the analysis of a class of non-Gaussian positive-definite matrix-valued homogeneous random fields with uncertain spectral measure for stochastic elliptic operators. Then the stochastic elliptic boundary value problem in a bounded domain of the 3D-space is introduced and analyzed for stochastic homogenization.

Publisher

American Mathematical Society (AMS)

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

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