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Nonlinear Analysis

Oblique derivative problem on Lipschitz domains

Hongjie Dong,  Brown University

Location:  Hill 705
Date & time: Tuesday, 10 April 2018 at 1:40PM - 2:40PM

Abstract: I will discuss a recent work on the $W^2_p$ estimate for the oblique derivative problem for nondivergence form elliptic equations with VMO coefficients in Lipschitz domains. This extends a result by Gary Lieberman, where the domain is required to be in $C^{1,\alpha}$ for $\alpha>1-1/p$.

The talk is based on joint work with Zongyuan Li (Brown).

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