Rate of Convergence in Homogenization of Parabolic PDEs

We consider the solutions to ∂/∂tu(n)=a(n)(x)Δu(n) where {a(n)(x)}n=1,2,... are random fields satisfying a 'well-mixing' condition (which is different to the usual 'strong mixing' condition). In this paper we estimate the rate of convergence of u(n) to the solution of a heat equation. Since our equation is of simple form, we get quite strong result which covers the previous homogenization results obtained on this equation