Open AccessStochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum
Author(s) -
Christian Soize
Publication year - 2021
Publication title -
theory of probability and mathematical statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.393
H-Index - 12
eISSN - 1547-7363
pISSN - 0094-9000
DOI - 10.1090/tpms/1159
Subject(s) - mathematics , elliptic operator , random field , bounded function , gaussian , homogenization (climate) , gaussian random field , mathematical analysis , elliptic boundary value problem , pure mathematics , gaussian process , boundary value problem , free boundary problem , statistics , biodiversity , ecology , physics , quantum mechanics , biology
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.