Proves stationary correctors and new flux correctors for parabolic stochastic homogenization under spectral gap conditions, yielding optimal error estimates on C1 cylinders via duality and weighted arguments.
Coarse-graining and quantitative stochastic homogenization of parabolic equations in high contrast
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abstract
We prove quantitative homogenization results for high contrast parabolic equations with random coefficients depending on both space and time. In particular, we prove that under a sufficient decorrelation assumption the homogenization length scale is bounded by $\exp(C\log^2(1+\Lambda/\lambda)) + C\sqrt{\lambda}$. The proof is based on a parabolic coarse-graining framework which generalizes the results of Armstrong and Kuusi in the elliptic setting.
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math.AP 1years
2026 1verdicts
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Sharp error estimates in stochastic homogenization of parabolic systems with time-dependent coefficients
Proves stationary correctors and new flux correctors for parabolic stochastic homogenization under spectral gap conditions, yielding optimal error estimates on C1 cylinders via duality and weighted arguments.