Pointwise two-scale expansion for parabolic equations with random coefficients
From MaRDI portal
Publication:328794
DOI10.1007/s00440-015-0667-zzbMath1386.35502arXiv1410.2157OpenAlexW2964210144MaRDI QIDQ328794
Jean-Christophe Mourrat, Yu Gu
Publication date: 21 October 2016
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.2157
Central limit and other weak theorems (60F05) Heat equation (35K05) Martingales with continuous parameter (60G44) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
High order correctors and two-scale expansions in stochastic homogenization ⋮ A central limit theorem for fluctuations in 1D stochastic homogenization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Noise-stability and central limit theorems for effective resistance of random electric networks
- Annealed estimates on the Green functions and uncertainty quantification
- Mesoscopic higher regularity and subadditivity in elliptic homogenization
- A quantitative central limit theorem for the random walk among random conductances
- Normal approximation for a random elliptic equation
- Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients
- An optimal variance estimate in stochastic homogenization of discrete elliptic equations
- Variance decay for functionals of the environment viewed by the particle
- A regularity theory for random elliptic operators
- Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- Quantitative results on the corrector equation in stochastic homogenization
- Averaging of symmetric diffusion in random medium
- Scaling limit of the corrector in stochastic homogenization
- A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts
- Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
- Fluctuations of parabolic equations with large random potentials
- Limiting models for equations with large random potential: a review
- An optimal error estimate in stochastic homogenization of discrete elliptic equations
- Quantitative
- An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
- Homogenization with Large Spatial Random Potential
- Central Limits and Homogenization in Random Media
- On annealed elliptic Green function estimates
- Mean Field and Gaussian Approximation for Partial Differential Equations with Random Coefficients
- Strong convergence to the homogenized limit of parabolic equations with random coefficients
- Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth
- Fluctuations in Markov Processes
