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Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results
In L2(Rd;Cn), we consider a self-adjoint matrix strongly elliptic second-order differential operator Aϵ with periodic coefficients depending on x/ϵ. We find approximations of the exponential e−iτAϵ, τ∈R, for small ε in the (Hs→L2)-operator norm with suitable s. The sharpness of the error estimates with respect to τ is discussed. The …