2019
Том 71
№ 8

All Issues

Bernstein inequality under averaging of elliptic systems in periodic random media

Bondarev B. V., Korolev M. E.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 12, pp 1852-1867.

Citation Example: Bondarev B. V., Korolev M. E. Bernstein inequality under averaging of elliptic systems in periodic random media // Ukr. Mat. Zh. - 1996. - 48, № 12. - pp. 1638-1650.

Full text