Tbilisi Analysis & PDE Seminar

Tbilisi Analysis & PDE Seminar

Dear Colleagues! V. Kupradze Institute of Mathematics of the University of Georgia is pleased to invite you to the Online Tbilisi Analysis & PDE Seminar. The seminar is held bi-weekly on Tuesdays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).

Seminar on April 29, 2025

Speaker: Prof. Dr. Malte Braack, the Christian Albrecht University of Kiel, Germany.; https://www.math.uni-kiel.de/angewandte-mathematik/de/malte-braack

The title of the lecture: „The concept of mapped coercivity for nonlinear operators in Banach spaces“

Abstract: We provide a concise proof of existence of the solutions to nonlinear operator equations in separable Banach spaces, without assuming the operator to be monotone. Instead, our main hypotheses consist of a continuity assumption and a mapped coercivity property, which is a generalization of the usual coercivity property for nonlinear operators. In the case of linear operators, we recover the traditional inf-sup condition.

To illustrate the applicability of this general concept, we apply it to semi-linear elliptic problems and the Navier-Stokes equations.

The talk is based on a joint work with R. Becker (Université de Pau et des pays de l'Adour)

Download Poster: Link to Download

How to join: The seminar is organized on the Zoom Workplace. If you are already registered, you don't need to register again. Otherwise, to join the seminar please send an e-mail to seminarim@ug.edu.ge or register here:

https://forms.gle/xfQJ9fg1uqe7CrZw6

You will then receive further information.

You can also join an online seminar without installing Webex, by just clicking on the meeting link of the seminar. You will be connected via browser e.g. Firefox, Google Chrome, Microsoft Edge or whatever.

Past Seminars here

Organizers:

1. R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi
2. E. Shargorodsky, Department of Mathematics, King’s College London
3. G. Tephnadze, Institute of Mathematics, University of Georgia, Tbilisi

Secretary:

M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi
Technical support:

G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi

Z. Vashakidze, Institute of Mathematics, University of Georgia, Tbilisi

Seminar of our partners:

Seminar on Analysis, Differential Equations and Mathematical Physics