Homogenization of periodic parabolic systems in the $L_2(\mathbb {R}^d)$-norm with the corrector taken into account
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 selfadjoint matrix second order elliptic differential operator $\mathcal {B}_\varepsilon$, $0<\varepsilon \leq 1$. The principal part of the operator is given in a factorized form, the operator contains first and zero order terms. The operator $\mathcal {B}_\varepsilon$ is positive definite, its coefficients are periodic and …