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SEMINARS
Boundary Regularity for Elliptic Equations
时间  Datetime
2019-08-08 16:00 — 17:00 
地点  Venue
Large Conference Room(706)
报告人  Speaker
Kai Zhang
单位  Affiliation
Northwest Polytechnic University
邀请人  Host
Lihe Wang
报告摘要  Abstract

This talk investigates the relation between the boundary geometric properties and the boundary regularity of the solutions of elliptic equations. In particular, we prove by a new unified method the pointwise boundary Hölder regularity under proper geometric conditions. “Unified” means that our method is applicable for the Laplace equation, linear elliptic equations in divergence and non-divergence form, fully nonlinear elliptic equations, the p-Laplace equations and the fractional Laplace equations etc. In addition, these geometric conditions are quite general. The key observation in the method is that the strong maximum principle implies a decay for the solution, then a scaling argument leads to the Hölder regularity. We also present some other boundary regularity.