Tbilisi Analysis & PDE Seminar

Tbilisi Analysis & PDE Seminar

Dear Colleagues! 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 Mondays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).

Seminar on June 11, 2024

Speaker: Prof. Dr. Carsten Trunk, TU Ilmenau; https://www.tu-ilmenau.de/universitaet/fakultaeten/fakultaet-mathematik-und-naturwissenschaften/profil/institute-und-fachgebiete/institut-fuer-mathematik/profil/fachgebiet-angewandte-funktionalanalysis

The title of the lecture: “Essential spectra of Sturm–Liouville operators and their indefinite counterpart”

Abstract: We show new perturbation results and invariance of essential spectra in terms of the real, locally integrable coefficients \( p \), \( q \), \( r \) for general Sturm-Liouville differential expressions of the form

\( \displaystyle \frac{1}{r} \left( -\frac{d}{dx} p \frac{d}{dx} + q \right)\,, \)

with a.e. positive functions \( p \) and \( r \). If one allows sign changes of the weight function \( r \), then the situation changes dramatically but one keeps control over the essential spectrum and some properties of the isolated point spectrum can still be proved.

This talk is based on a joint works with J. Behrndt (Graz), G. Teschl (Vienna), and P. Schmitz (Ilmenau).

Download poster: Link to Download

How to join: The seminar is organized on the Cisco Webex Meetings. 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