Mathematics webinar | Recent progress in Real Analysis and PDEs
Mathematics webinar | Recent progress in Real Analysis and PDEs
Part of the MDPI Mathematics Webinars series
19 November 2025
Elliptic Equations, Integral Operators, Real Analysis, Morrey Spaces, Mean Field Games
Welcome from the Chair
21st Mathematics Webinar
Recent progress in Real Analysis and PDEs
It is my great pleasure and privilege to welcome you to today's webinar on "Recent Progress in Real Analysis and PDEs." As Chair of this session, I am honored to facilitate what promises to be an intellectually stimulating exchange of ideas at the intersection of two fundamental areas of mathematical analysis.
We are fortunate to have assembled a distinguished panel of speakers whose research contributions have significantly advanced our understanding of partial differential equations and real analysis. I am delighted to introduce Professor Scott Rodney from Canada, whose work in nonlinear analysis and differential equations has been widely recognized; Professor Tigran Bakaryan from Armenia, whose research on mean-field games, optimal control, and the analysis of coupled PDE systems has made significant contributions to our understanding of stationary mean-field games, regularity theory, and their connections to network equilibria; and Professor Yoshihiro Sawano from Tokyo, whose expertise in function spaces and harmonic analysis has enriched the field considerably.
The interplay between real analysis and the theory of partial differential equations remains one of the most fertile areas of mathematical research. The analytical techniques developed in real analysis—from harmonic analysis to functional inequalities—provide essential tools for understanding the existence, regularity, and qualitative behavior of solutions to PDEs. Conversely, questions arising from PDEs continue to inspire new developments in real analysis.
Today's presentations will showcase recent advances in this dynamic area, and I anticipate that the ensuing discussions will foster new collaborations and insights. I encourage all participants to engage actively during the question periods.
Date: 19 November 2025
Time: 2:00 PM CET
Webinar ID: 852 8705 8406
Webinar Secretariat: journal.webinar@mdpi.com
Event Chairs
Department of Mathematics and Computer Sciences, University of Catania, 95124 Catania, Italy
Giuseppe Di Fazio got his PhD in Partial Differential Equations in 1993. Full Professor in Mathematical Analysis at University of Catania since 2007. Teaching activity for Engineering, Physics, Computer Science and for Pure Mathematics students. Now teaching to Mathematics students and also at "Scuola Superiore di Catania". Research is about Partial differential equations, especially regularity topics, Morrey spaces and integral operators acting between them. He has been a Mathematical Science Research Institute (MSRI) fellow at Berkeley and a "Unione Matematica Italiana (UMI)" fellow.
Keynote Speakers
Mathematics and Mechanics, Yerevan State University, Armenia
Game-Theoretic Coordination for Time-Critical Missions of Uav Systems
Tigran Bakaryan is a Leading Researcher at the Center for Scientific Innovation and Education (CSIE), a Researcher at the Institute of Mathematics of the National Academy of Sciences of Armenia (NAS RA), and a Professor at Yerevan State University (YSU). He received his Bachelor’s and Master’s degrees from YSU and earned his Ph.D. in Fourier Analysis at the Institute of Mathematics of NAS RA. During his doctoral studies, he was awarded a Young Researcher Grant from the Science Committee of Armenia. In 2018, he joined King Abdullah University of Science and Technology (KAUST) as a Postdoctoral Fellow, where he worked on the theory of Mean-Field Games (MFGs). During this period, he also spent several months as a Visiting Research Scientist at Sapienza University of Rome and the University of Catania. In 2023, Tigran joined the Department of Mechanical Science and Engineering at the University of Illinois Urbana–Champaign (UIUC) as a Postdoctoral Research Associate, focusing on applied problems in multi-agent autonomous systems. His research interests include partial differential equations, game theory, mean-field game theory, control theory, and multi-agent autonomous systems.
Trace operators in Sobolev--Morrey spaces over bounded $C ^{m-1,1}$ domains
Graduated from the University of Tokyo and is currently a full professor at Chuo University.
King Abdullah University of Science and Technology (KAUST), Saudi Arabia
A Nonlocal Approach to Regularity in Local Problems
Rafayel Teymurazyan obtained his PhD in Mathematics from the University of Lisbon (Portugal) in 2013. After postdoc and research positions at the Federal University of Ceará (Brazil), the University of Texas at Austin (USA), and the University of Coimbra (Portugal), he joined KAUST in 2023. He works on regularity theory for nonlinear PDEs and the mathematical analysis of free boundary problems.
Department of Mathematics, Physics and Geology, Cape Breton University, Canada
Existence of Weak Solutions to Linear Second Order Degenerate Elliptic Equations
Scott is a professor of Mathematics who works in regularity theory for degenerate elliptic equations. Using ideas of Wheeden and Sawyer, he studies PDEs using the ideas of harmonic analysis.
Registration
This is a FREE webinar. After registering, you will receive a confirmation email containing information on how to join the webinar. Registrations with academic institutional email addresses will be prioritized.
Certificates of attendance will be delivered to those who attend the live webinar.
Can’t attend? Register anyway and we’ll let you know when the recording is available to watch.
Program
|
Speaker/Presentation |
Time in CET |
|
Giuseppe Di Fazio (Chair) Chair Introduction |
2:00 -2:05 PM CET |
|
Tigran Bakaryan (Speaker 1) Game-Theoretic Coordination for Time-Critical Missions of Uav Systems |
2:05- 2:20PM CET |
|
Yoshihiro Sawano (Speaker 2) Trace Operators in Sobolev–Morrey Spaces over Bounded $C ^{m-1,1}$ Domains |
2:20 – 2:40 PM CET |
|
Rafayel Teymurazyan (Speaker 3) A Nonlocal Approach to Regularity in Local Problems |
2:40 – 3:00 PM CET |
|
Scott Rodney (Speaker 4) Existence of Weak Solutions to Linear Second Order Degenerate Elliptic Equations |
3:00 – 3:20 PM CET |
|
Q&A |
3:20-3:35 PM CET |
|
Closing of Webinar Giuseppe Di Fazio (Chair) |
3:35-3:40 PM CET |
Relevant Special Issue
Numerical Methods for Linear PDEs and Applications
Special Issue Editors: Dr. Mozhgan Nora Entekhabi and Prof. Dr. Hugo Leiva
Deadline for manuscript submissions: 31 January 2026
New Trends in Nonlinear Waves
Special Issue Editor: Dr. Mirko Tarulli
Deadline for manuscript submissions: 31 May 2026
Sponsors and Partners
Organizers
