# Flatness implies Smoothness

Yue Zhao
Thursday, October 5, 2017 - 2:30pm to 3:20pm
PDL C-401

Consider an unbounded Reifenberg flat chord arc domain $$D$$ in $$\mathbb{R}^{n+1}$$ which is a domain with certain flatness conditions, and if the gradient of the Green's function with pole at infinity is bounded above by $$1$$ and its normal derivative at the boundary is bounded below by $$1$$, then $$D$$ is a half space. In this talk, I'll introduce what is a Reifenberg flat chord arc domain and outline sketch of the proof.

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