“Analysis and Applied Mathematics” Еженедельный онлайн семинар 14

Bahçeşehir University, Istanbul, Turkey

Analysis & PDE Center, Ghent University, Ghent, Belgium

 Institute Mathematics & Math. Modeling, Almaty, Kazakhstan

 “Analysis and Applied Mathematics”

Weekly Online Seminar

 

Date: Tuesday, June 7, 2022

Time: 14.00-15.00 (GMT+3, Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty) 

Zoom link: https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,

Conference ID: 667 827 0445, Access code: 1

Speaker: 

Prof. Dr. Yusif Gasimov

Azerbaijan University, Baku, Azerbaijan 

Title: On one inverse spectral domain identification problem


Abstract: In this talk an inverse spectral problem is considered with respect to the domain for the Schrödinger equation. Using the introduced space of the pairs of the convex domains a new definition of the domain variation is given. The first variation of the eigenvalues with respect to domain is calculated, a new formula for the eigenvalues of the Schrödinger operator is proved. A definition of s-function is introduced and a scheme is proposed to reconstruct the domain by the given set of the s-functions. Some particular cases are also considered.

Biography: 

Yusif Gasimov – Doctor of Sciences in Mathematics, was born in 1968 in Azerbaijan. He graduated from Baku State University in 1992. In 1996 he got his Ph.D. degree in Mathe-matical Analysis from the Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences. In 2010 he got his Doctor of Sciences degree from Institute of Con-trol Systems, Azerbaijan National Academy of Sciences. In 2006 and 2009 he was a visit-ing professor at the University de Nantes (France). Currently he is a Vice-Rector at the Azerbaijan University.
Prof. Y. Gasimov works with PDEs, spectral theory, optimization, shape optimization, nu-merical methods, etc.
Prof. Y. Gasimov is Editor-in-Chief of journal Advanced Mathematical Models & Applica-tions, Guest Editor of the Special Issues "Entropy and Its Applications across Disciplines II" and "Entropy and Its Applications across Disciplines III" of the journal Entropy, Edi-torial Member of many international journals, co-organizer of a number of International conferences.
 
Forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars

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