Divergence form operators in Reifenberg flat domains
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We study the boundary regularity of solutions of elliptic operators in divergence form with C 0,α coefficients or operators which are small perturbations of the Laplacian in non-smooth domains. We show that, as in the case of the Laplacian, there exists a close relationship between the regularity of the corresponding elliptic measure and the geometry of the domain.
KeywordsReifenberg flat domain Chord arc domain Elliptic measure
Mathematics Subject Classification (2000)35J25 31B05
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