Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients

Autor:	Conlon, Joseph G., Fahim, Arash
Rok vydání:	2012
Předmět:	Mathematics - Analysis of PDEs 81T08 82B20 35R60 60J75
Druh dokumentu:	Working Paper
Popis:	This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized equation. It has previously been shown that if the random environment is translational invariant and ergodic, then solutions of the random equation converge under diffusive scaling to solutions of a homogenized parabolic PDE. In this paper point-wise estimates are obtained on the difference between the averaged solution to the random equation and the solution to the homogenized equation for certain random environments which are strongly mixing. Comment: 46 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1203.5345 Zobrazit plný text záznamu View this record from Arxiv