Boundary gradient estimates for parabolic and elliptic systems from linear laminates

Abstract

We study boundary gradient estimates for second-order divergence type parabolic and elliptic systems in $C^{1,α}$ domains. The coefficients and data are assumed to be Hölder in the time variable and all but one spatial variables. This type of systems arises from the problems of linearly elastic laminates and composite materials.

18 pages, submitted