Continuity Properties for Divergence Form Boundary Data Homogenization Problems

Published 31 Jan 2018 in math.AP | (1801.10604v1)

Abstract: We study the continuity/discontinuity of the effective boundary condition for periodic homogenization of oscillating Dirichlet data for nonlinear divergence form equations and linear systems. For linear systems we show continuity, for nonlinear equations we give an example of discontinuity.

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