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math.AP2021
Expansion of harmonic functions near the boundary of Dini domains
Carlos Kenig, Zihui Zhao
Let be a harmonic function in a -Dini domain, such that vanishes on an open set of the boundary. We show that near every point in the open set, can be written uniq…
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
Boundary unique continuation on -Dini domains and the size of the singular set
Carlos Kenig, Zihui Zhao
Let be a harmonic function in a -Dini domain such that vanishes on a boundary surface ball . We consider an effective version of its sin…