The Martin boundary in non-Lipschitz domains

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The Martin boundary in non-Lipschitz domains

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Title: The Martin boundary in non-Lipschitz domains
Author: Burdzy, Krzysztof; Bass, Richard F.
Abstract: The Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in C [to the power of gamma] domains, where [gamma](x) = bx log log(1/x)/ log log log(1/x), b small. A counterexample shows that this result is very nearly sharp.
URI: http://hdl.handle.net/1773/2172

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