Continuity Properties for Divergence Form Boundary Data Homogenization Problems

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.

32 pages

References in corpus (1)

• Regularity of boundary data in periodic homogenization of elliptic systems in layered media

Cited by in corpus (1)

• On Homogenization Problems with Oscillating Dirichlet Conditions in Space-Time Domains