Estimates in probability of the residual between the random and the homogenized solutions of one‐dimensional second‐order operator
Alain P. Bourgeat, Andrey Lvovich Piatnitski · Asymptotic Analysis · 1999
The work is giving estimations of the discrepancy between solutions of the initial and the homogenized problems for a one‐dimensional second‐order elliptic operators with random coefficients satisfying strong or uniform mixing conditions. We obtain several sharp estimates in terms of the corresponding mixing coefficient.