Gohar Aleksanyan, Tuomo Kuusi
Abstract
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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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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.
Key concepts: Homogenization (climate), Obstacle, Obstacle problem, Bounded function, Mathematics, Boundary value problem, Boundary (topology), Mathematical analysis