RANDOM PSEUDODIFFERENTIAL OPERATORS AND THE STABILIZATION OF SOLUTIONS OF PARABOLIC EQUATIONS WITH RANDOM COEFFICIENTS

DOI10.1070/SM1982v041n01ABEH002219zbMath0479.35086OpenAlexW2020348348MaRDI QIDQ3937109

P. E. Dedik, Mikhail A. Shubin

Publication date: 1982

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1982v041n01abeh002219

zbMATH Keywords

Sobolev spacerandom fieldsymbol of operatorstabilization of the solutionselliptic equation with random coefficientparabolic equations with random coefficientsrandom pseudodifferential equation

Mathematics Subject Classification ID

Random fields (60G60) Pseudodifferential operators as generalizations of partial differential operators (35S05) Random operators and equations (aspects of stochastic analysis) (60H25) General theory of partial differential operators (47F05) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (4)

A martingale approach to homogenization of unbounded random flows ⋮ Convergence Analysis of Stochastic Structure-Preserving Schemes for Computing Effective Diffusivity in Random Flows ⋮ The Spectra of Random Pseudo-Differential Operators ⋮ Turbulent diffusion in Markovian flows

This page was built for publication: RANDOM PSEUDODIFFERENTIAL OPERATORS AND THE STABILIZATION OF SOLUTIONS OF PARABOLIC EQUATIONS WITH RANDOM COEFFICIENTS