Corrector Estimates for Elliptic Systems with Random Periodic Coefficients

DOI10.1137/15M1037147zbMath1351.35273arXiv1409.5271MaRDI QIDQ5298165

Felix Otto, Peter Bella

Publication date: 13 December 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5271

zbMATH Keywords

elliptic systemscorrector estimatesrandom errorquantitative homogenization

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (9)

Annealed estimates on the Green functions and uncertainty quantification ⋮ Quantitative results on the corrector equation in stochastic homogenization ⋮ Green's function for elliptic systems: moment bounds ⋮ Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations ⋮ Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts ⋮ Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations ⋮ Lipschitz regularity for elliptic equations with random coefficients ⋮ Time-periodic measures, random periodic orbits, and the linear response for dissipative non-autonomous stochastic differential equations ⋮ A regularity theory for random elliptic operators

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