Speaker: Yuanyuan Lian (Shanghai Jiao Tong University)

Time: 9:00-10:00 a.m., June 14, 2023, GMT+8

Venue: Zoom Meeting ID: 878 8399 5957 Passcode: 972661

Abstract:

 In this talk, we develop systematically the pointwise regularity for viscositysolutions of fully nonlinear elliptic equations in general forms. ln particular, theequations with quadratic growth (called natural growth) in the gradient are coveredWe obtain a series of interior pointwise Ck,a regularity (k > 1 and 0 < a < 1). Someregularity results are new even for the linear equations. Moreover, the minimumrequirements are imposed to obtain above regularity and our proofs are simple.

Biography:

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.

Source: School of Mathematical Sciences