14 November 2025
Mathematics Webinar | Recent Progress in Real Analysis and PDEs, 19 November 2025


Welcome message from the webinar Chair:

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 Prof. Scott Rodney from Canada, whose work in nonlinear analysis and differential equations has been widely recognized; Prof. 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 Prof. 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 Q&A sessions.

Date: 19 November 2025
Time: 2:00 p.m. CET | 8:00 a.m. EST
Webinar ID: 852 8705 8406

Register now for free!

After registering, you will receive a confirmation email with information on how to join the webinar. Registrations with academic institutional email addresses will be prioritized.

Unable to attend? Feel free to register anyway; the session will be recorded, and we will let you know when the recording is available for viewing.

Program:

Speaker/Presentation:

Time in CET:

Giuseppe Di Fazio
Chair Introduction

2:00–2:05 p.m.

Tigran Bakaryan
Game-Theoretic Coordination for Time-Critical Missions of Uav Systems

2:05–2:20 p.m.

Yoshihiro Sawano
Trace Operators in Sobolev–Morrey Spaces over Bounded $C ^{m-1,1}$ Domains

2:20–2:40 p.m.

Rafayel Teymurazyan
A Nonlocal Approach to Regularity in Local Problems

2:40–3:00 p.m.

Scott Rodney
Existence of Weak Solutions to Linear Second Order Degenerate Elliptic Equations

3:00–3:20 p.m.

Q&A Session

3:20–3:35 p.m.

Giuseppe Di Fazio
Closing of Webinar

3:35–3:40 p.m.

Webinar Chair and Speakers:

  • Prof. Giuseppe Di Fazio, Department of Mathematics and Computer Sciences, University of Catania, Catania, Italy;
  • Prof. Yoshihiro Sawano, Department of Mathematics, Chuo University, Japan;
  • Dr. Rafayel Teymurazyan, King Abdullah University of Science and Technology (KAUST), Saudi Arabia;
  • Prof. Scott Rodney, Department of Mathematics, Physics and Geology, Cape Breton University, Canada.

Relevant Special Issues:

Numerical Methods for Linear PDEs and Applications
Guest Editors: Dr. Mozhgan Nora Entekhabi and Prof. Dr. Hugo Leiva
Deadline for manuscript submissions: 31 January 2026

New Trends in Nonlinear Waves”
Guest Editor: Dr. Mirko Tarulli
Deadline for manuscript submissions: 31 May 2026

For more information about this webinar, please visit the following website: https://sciforum.net/event/Mathematics-21?subscribe.

If you have any questions about this event, please contact mathematics@mdpi.com.

Mathematics Webinar Secretariat

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