Quantitative homogenization for the obstacle problem and its free boundary

2021/12/20 by Aleksanyan, Gohar, Kuusi, Tuomo
#35B27 #35B45 #35R35 #60F05 #60K37 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.10879

Abstract

In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients. As a consequence, large-scale regularity results both for the solution and the free boundary for the heterogeneous obstacle problem are derived.

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