SMS scnews item created by Miranda Luo at Tue 6 Sep 2022 1427
Type: Seminar
Distribution: World
Expiry: 12 Sep 2022
Calendar1: 12 Sep 2022 1200-1300
CalLoc1: Zoom webinar
Auth: miranda@w7r3b0j3.staff.wireless.sydney.edu.au (jluo0722) in SMS-SAML

# Linear and fully nonlinear elliptic equations with Morrey drift

### Nicolai Krylov

Dear friends and colleagues,

on Monday, 12 September 2022 at
10:00 AM for Beijing, Hong Kong and Perth
11:00 AM for Seoul and Tokyo
12:00 PM for Canberra, Melbourne and Sydney
02:00 PM for Auckland

Professor Emeritus Nicolai Krylov is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

Linear and fully nonlinear elliptic equations with Morrey drift

Abstract:

We present some results concerning the solvability of linear elliptic equations in bounded domains with the main coefficients almost in VMO, the drift and the free terms in Morrey classes containing $L_{d}$, and bounded zeroth order coefficient. We prove that the second-order derivatives of solutions are in a local Morrey class contained in $L_{p,\loc}$. Actually, the exposition is given for fully nonlinear equations and encompasses the above-mentioned results, which are new even if the main part of the equation is just the Laplacian.

Chair: Enrico Valdinoci (University of Western Australia)

More information and how to attend this talk can be found at the seminar webpage .

Miranda
On behalf of Daniel H. and Ben

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## Webinar Speaker

Nicolai Krylov
Professor Emeritus @ University of Maryland, United States

Professor Krylov received his PhD in 1966 at Moscow State University in Russia, where he also accepted his first Associate and Assistant Professorship from 1966 until 1983. In 1983, Krylov was promoted to Full Professor at Moscow State University. In 1990, Professor Krylov accepted a Full Professorship at the University of Minnesota, where he held the prestigious chair “Samuel G. Ordway Professor of Mathematics” from 1993 until 2017. Since 2021, Professor Krylov continues his research as Emeritus at the University of Minnesota. During his career, Professor Krylov received several prestigious prizes among them the K. Itô prize in 2005, Leroy P. Steel Prize in 2004, and the Kolmogorov Medal in 2003. Since 1993, Professor Krylov is a Fellow of the American Academic of Arts and Science and since 2007 a Fellow of the Royal Society of Edinburgh.

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