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Journal Articles Probability Theory and Related Fields Year : 2016

Pointwise two-scale expansion for parabolic equations with random coefficients

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Abstract

We investigate the first-order correction in the homogenization of linear parabolic equations with random coefficients. In dimension 3 and higher and for coefficients having a finite range of dependence, we prove a pointwise version of the two-scale expansion. A similar expansion is derived for elliptic equations in divergence form. The result is surprising, since it was not expected to be true without further symmetry assumptions on the law of the coefficients.
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Dates and versions

ensl-01401891 , version 1 (23-11-2016)

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Yu Gu, Jean-Christophe Mourrat. Pointwise two-scale expansion for parabolic equations with random coefficients. Probability Theory and Related Fields, 2016, 166, pp.585 - 618. ⟨10.1007/s00440-015-0667-z⟩. ⟨ensl-01401891⟩
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