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math.AP2021
Elliptic measures for Dahlberg-Kenig-Pipher operators: Asymptotically optimal estimates
Simon Bortz, Tatiana Toro, Zihui Zhao
Questions concerning quantitative and asymptotic properties of the elliptic measure corresponding to a uniformly elliptic divergence form operator have been the focus of recent stu…
math.AP2021★ 4 cited
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
Simon Bortz, John Hoffman, Steve Hofmann +2
Let be a parabolic uniformly rectifiable set. We prove that every bounded solution to $$\partial_tu- Δu=0, \quad \text{in} \quad \mathbb R^{n+1}\set…
math.AP2021
On Big Pieces approximations of parabolic hypersurfaces
Simon Bortz, John Hoffman, Steve Hofmann +2
Let be a closed subset of which is parabolic Ahlfors-David regular and assume that satisfies a 2-sided corkscrew condition. Assume, in addition, that $Σ…