Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
The paper is concerned with the study of the multiscale analysis of linear parabolic equations with rapidly oscillating coefficients which depend on spatial and temporal variables. The authors present the determination of the convergence rate for the approximate solutions by using a suitable cut-off function, the definition of boundary layer solutions, and higher-order correctors. Regularity estimates for the boundary layer solutions and numerical approximations techniques are presented.
scientific article; zbMATH DE number 5290021