Abstract

In this paper we study the asymptotic behavior of solutions of linear parabolic equations in \mathbb{R}^N with periodic coefficients and L^1 initial data, as t\rightarrow \infty. It was already known that, in a first approximation, solutions behave as the fundamental solution of the homogenized system. We use the Bloch waves decomposition to obtain a complete expansion of the solutions as t\rightarrow \infty.