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Asymptotic decomposition of solutions to random parabolic operators with oscillating coefficients

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 نشر من قبل Alexandre Popier
 تاريخ النشر 2020
  مجال البحث
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We consider Cauchy problem for a divergence form second order parabolic operator with rapidly oscillating coefficients that are periodic in spatial variable and random stationary ergodic in time. As was proved in [25] and [13] in this case the homogenized operator is deterministic. We obtain the leading terms of the asymptotic expansion of the solution , these terms being deterministic functions, and show that a properly renormalized difference between the solution and the said leading terms converges to a solution of some SPDE.



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