[Turkmath:6260] (no subject)

[Allaberen Ashyralyev]

Dear Colleagues!
You are cordially invited to the  Weekly Online Seminar “Analysis and
Applied Mathematics” on

Date: Tuesday, November 14, 2023

Time: 12.00-13.00 (Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty)

 Place: Meeting room of Faculty of Engineering and Natural Sciences,
Bahçeşehir University, D-415
Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1

 Speaker: Prof. Dr. Giuseppe Di Fazio University of Catania, Italy

Title: Regularity for elliptic equations under minimal assumptions

Abstract: In this talk,  we will review regularity results for linear and
quasilinear uniformly elliptic equations. Focus is on the minimal
assumptions we need to obtain a given degree of smoothness for generalized
solutions of a given elliptic equation.  Our main linear equation is
div𝐴(𝑥, 𝑢, ∇𝑢) + 𝐵(𝑥, 𝑢, ∇𝑢) = 0,
where  |𝐴(𝑥, 𝑢, 𝜉)| ≤ 𝑎|𝜉|'(𝑝−1)  + 𝑏|𝑢|'(𝑝−1) + 𝑒,
 |𝐵(𝑥, 𝑢, 𝜉)| ≤ 𝑐|𝜉|'(𝑝−1) + 𝑑|𝑢|'(𝑝−1) + 𝑔,
𝜉 ∙ 𝐴(𝑥, 𝑢, 𝜉) ≥ |𝜉| '𝑝 − 𝑑|𝑢|'𝑝 − 𝑔,
 where 𝑎 is a real constant and 𝑏, 𝑐, 𝑑, e, 𝑔 are given functions.
Abstracts and forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
Turkiye**  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkiye*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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