Estimates in homogenization of parabolic equations with locally periodic coefficients
Svetlana Evgenievna Pastukhova · Asymptotic Analysis · 2010
We study parabolic equations with highly inhomogeneous locally periodic coefficients. The small parameter ε defines the degree of inhomogenity. The difference between the operator exponentials corresponding to the initial and the homogenized equations is of the main interest. We prove the estimate for this difference in operator L 2 -norm of order ε 1/2 .