Homogenization of periodic parabolic systems in the $L_2(\mathbb{R}^d)$-norm with the corrector taken into account

In $L_2(\mathbb{R}^d;\mathbb{C}^n)$, consider a self-adjoint matrix second order elliptic differential operator $\mathcal{B}_\varepsilon$, $0
Comment: 41 pages. This is an English translation of the paper originally published in Russian. Translated version: St. Petersburg Math. J. 31 (2020), to appear. Minor revision of the first version. Some typos removed