[Turkmath:5392] Re: (no subject)

Sun Jan 16 14:34:12 UTC 2022

Dear Colleagues!

You are cordially invited to the Weekly Online Seminar “Analysis and
Applied Mathematics” on

Date: Tuesday, January 18, 2022

Time: 13.00-14.00 (GMT+4, Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00
(Almaty)

Speaker: Prof. Dr. T.Sh. Kal’menov

Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan

Title: Hadamard's example and solvability of the mixed Cauchy problem for
the multidimensional Gellerstedt equation

Join Zoom Meeting:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1

Abstracts and forthcoming talks can be found on our webpage

https://sites.google.com/view/aam-seminars

Kind regards,

*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
*  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at eng.bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*

On Tue, 4 Jan 2022 at 11:01, Allaberen Ashyralyev <aallaberen at gmail.com>
wrote:

> *Bahçeşehir University, Istanbul, Turkey*
>
> *Analysis & PDE Center, Ghent University, Ghent,  Belgium *
>
> *Institute Mathematics & Math. Modeling, Almaty, Kazakhstan*
>
>
> Seminar leaders: Prof. Allaberen Ashyralyev BAU, Istanbul), Prof. Michael
> Ruzhansky (GU,  Ghent),
>
> Prof. Makhmud Sadybekov (IMMM, Almaty)
>
>
> Date: Tuesday, January 11, 2022   Time: 13.00-14.00 (GMT+4, Istanbul) =
> 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty)
>
> *Zoom link*: *https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-*
> <https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09>
> *lDaVYrN3l5bzJVQT09*
> <https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09>*,
> Conference ID: *667 827 0445, *Access code: *1
>
>
>
> *Speaker:*
> *Prof. Dr. T.Sh. Kal’menov* Institute of Mathematics and Mathematical
> Modeling, Almaty, Kazakhstan *Title:* Hadamard's example and solvability
> of the mixed Cau chy problem for the multidimensional Gellerstedt equation
>
>
> *Abstract:* In the theory of partial differential equations, an example
> constructed by J. Hada- mard, which shows the instability of the solution
> of the Cauchy problem for the Laplace equa- tion with respect to small
> changes in the initial data, is of great importance. In the works of A.N.Tikhonov,
> V.Y.Arsenin, M.M.Lavrentiev and many subsequent papers, this problem is reduced
> to integral equations of the first kind by solving the Newton potential,
> various regu- larizations of the problem under consideration are given
> and its conditional correctness is established. In our previous work, a
> criterion for the strong solvability of the Cauchy problem for the
> Laplace equation was found by the spectral decomposition of the Laplace
> operator with a deviating argument.
>
> In this report, we consider a mixed Cauchy problem for two-dimensional and
> multidimen- sional degenerate Gellerstedst equations. Analogs of the
> Hadamard’s example are constructed and incorrectness of the solution of
> the Cauchy problem for the Gellerstedt equation in two- dimensional and
> multidimensional cases is established. The condition of strong solvability
> of the mixed Cauchy problem for the multidimensional Gellerstedt equation
> in a cylindrical do- main is found. The proof is based on the spectral
> properties of the Laplace operator and the properties of special
> functions.
>
>
> *Biography:*
>
> Tynysbek Kal’menov is a graduate of the Novosibirsk State University
> (1969), and a representative of the school of A.V. Bitsadze, the
> outstanding scientist, the corresponding member of the Academy of
> Sciences of the USSR. In 1972, he completed his postgraduate studies at the Institute
> of Mathematics of the Siberian Branch of the Academy of Sciences of the
> USSR. In 1983, he defended his doctoral thesis at Moscow State
> University. In 1989, he was elected as a corresponding member of the
> Academy of Sciences of the Kazakh SSR.
>
> Tynysbek Kal’menov worked at the Institute of Mathematics and Mechanics of
> the Academy of Sciences of the Kazakh SSR (1972-1985). From 1986 to 1991,
> he was the dean of the Faculty of Mathematics of Al-Farabi Kazakh State
> University. From 1991 to 1997, he was the rector of Kazakh Chemical-Technological
> University (Shymkent).
>
> From 2004 to 2019, Tynysbek Kal’menov was the General Director of the
> Institute of Mathematics and Mathematical Modeling, he made it one of the
> leading scientific centres in the country and the best research institute
> in Kazakhstan. Suffice it to say, that in terms of the number of
> scientific publications (2015-2018) in international rating journals
> indexed in the Web of Science, the Institute of Mathematics and
> Mathematical Modeling ranked fourth among all Kazakhstani organisations,
> behind only three large universities: Nazarbaev Univer sity, N Al-Farabi
> National University and L.N. Gumilyov Eurasian University.
>
> Since 2019, Tynysbek Kal’menov has been working as the head of the
> Department of Differential Equations of the Institute of Mathematics and
> Mathematical Modeling.
>
> In 2013, he was awarded the State Prize of the Republic of Kazakhstan in
> the field of science and technology for the series of works “To the
> theory of initial-boundary value problems for differential equations”.
>
> The main areas of scientific interests of Academician Tynysbek Kal’menov
> are differential equations, mathematical physics and operator theory. He
> has obtained fundamental scientific results, many of which led to the
> creation of new scientific directions in mathematics.
>
> Tynysbek Kal’menov has trained 11 doctors and more than 60 candidates of
> sciences and PhD, has founded a large scientific school on equations of
> mixed type and differential operators recognized all over the world. Many
> of his disciples are major independent scientists recog- nized in the
> world of mathematics.
>
> He has published over 150 scientific articles, most of which are published
> in international mathematical journals, including 14 articles published in
> “Doklady AN SSSR/ Doklady Math- ematics”. In the last 5 years alone
> (2016-2020), he has published more than 30 articles in scientific
> journals indexed in the Web of Science database. To date, Academician
> Tynysbek Kal’menov has a Hirsch index of 18 in the Web of Science and
> Scopus databases, which is the highest indicator among all Kazakhstan
> mathematicians.
>
>
>
> *Prof. Dr. Allaberen Ashyralyev *
> *Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
> *  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
> *Peoples' Friendship University of Russia (RUDN University),** Ul
> Miklukho Maklaya 6, Moscow 117198, Russian Federation *
> *Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
> Kazakhstan*
> *e-mail: allaberen.ashyralyev at eng.bau.edu.tr
> <allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
> <aallaberen at gmail.com>    *
> *http://staff.neu.edu.tr/allaberen.ashyralyev/
> <http://staff.neu.edu.tr/allaberen.ashyralyev/>*
> https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
> *icaam-online.org <http://icaam-online.org>*
>
> *https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
> <https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
>
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