Divergence form operators in Reifenberg flat domains

E. Milakis; T. Toro

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arXiv · 0804.1242

Divergence form operators in Reifenberg flat domains

E. Milakis·T. Toro

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Abstract

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.

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E. Milakis, T. Toro. 2008-04-08. Divergence form operators in Reifenberg flat domains. https://arxiv.org/abs/0804.1242

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