Pointwise Regularity for Fully Nonlinear Elliptic Equations in General Forms
发布时间：2023年06月06日
浏览次数：2362
发布者: Wenqiong Li
主讲人： Yuanyuan Lian (Shanghai Jiao Tong University)
活动时间： 从 2023-06-14 09:00 到 10:00
场地： 线上
Abstract: In this talk, we develop systematically the pointwise regularity for viscosity solutions of fully nonlinear elliptic equations in general forms. In particular, the equations with quadratic growth (called natural growth) in the gradient are covered. We obtain a series of interior pointwise $C^{k,\alpha}$ regularity ($k\geq 1$ and $0<\alpha<1$). Some regularity results are new even for the linear equations. Moreover, the minimum requirements are imposed to obtain above regularity and our proofs are simple.
Speaker: Yuanyuan Lian is currently a postdoc at Shanghai Jiao Tong University. Her research focuses on the regularity of PDE. She has published 6 mathematical papers (in J. Math. Pures Appl.，J. Differential Equations and Israel J. Math. etc.) and 5 material science papers (in J. Alloys Compd. and J. Cryst. Growth ets.). In addition, she has obtained 5 national invention patents and a Postdoctoral Fund.
ID: 878 8399 5957
Passcode: 972661
