Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator

Asymptotic Analysis

Volumn 21, Issue 3-4, 1999, Pages 303-315

  Bourgeat, A ^a   Piatnitski, A ^b  

^a UNIVERSITÉ JEAN MONNET   (France)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

Moderate deviations; Random operators; Stochastic homogenization

Indexed keywords

MIXING;

ELLIPTIC OPERATOR; MIXING CONDITIONS; MODERATE-DEVIATIONS; ONE-DIMENSIONAL; RANDOM COEFFICIENTS; RANDOM OPERATORS; SECOND ORDER ELLIPTIC; SECOND-ORDER OPERATORS; SHARP ESTIMATES; STOCHASTIC HOMOGENIZATION;

STOCHASTIC SYSTEMS;

EID: 0012407408     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. M.I. Freidlin and A.D. Wentzell, Random Perturbations of Dynamical Systems, Springer, 1984.
2. U. Hornung, ed., Homogenization and Porous Media, IAM, Vol. 6, Springer, 1997.
3. V.V. Jikov, S.M. Kozlov and O.A. Oleinik, Homogenization of Differential Operators and Integral Functional, Springer, New York, 1994.
4. R.Sh. Liptser and A.N. Shiryayev, Theory of Martingales, Kluwer, Dordrecht, 1989.
5. A.V. Pozhidaev and VV. Yurinski, On the error of averaging symmetric elliptic systems, Math. USSR-Izv. 35(1) (1990), 183-201.
6. V.V. Yurinski, Averaging of symmetric diffusion in random media, Sibirsk. Mat. Zh. 27(4) (1986), 167-180.