Abstract
We construct the exponential Bernstein inequality for normed fluctuations of a solution of the Dirichlet problem with rapidly oscillating periodic random coefficients with respect to a solution of the averaged Dirichlet problem.
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Bondarev, B.V., Korolev, M.E. Bernstein inequality under averaging of elliptic systems in periodic random media. Ukr Math J 48, 1852–1867 (1996). https://doi.org/10.1007/BF02375372
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DOI: https://doi.org/10.1007/BF02375372