Divergence form operators in Reifenberg flat domains

Details Divergence form operators in Reifenberg flat domains Divergence form operators in Reifenberg flat domains

2008-04-08

arxiv.org/abs/0804.1242v1

Mathematics

Analysis of PDEs

32 pages

Scientific paper

We study the boundary regularity of solutions of elliptic operators in
divergence form with $C^{0,\alpha}$ 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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