Մաթեմատիկայի և մեխանիկայի ֆակուլտետ

Faculty of Mathematics and Mechanics

Training of specialists-mathematicians started in the YSU in 1924, in the physical - mathematical subsection of Social Science Department which became Physical-mathematical Department in 1993.:

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Henrik Sh. ShahgholianProfessor | Chair of General Mathematics PositionsJan 2001-current: Full Professor of Mathematics, KTH The Royal Institute of Technology, Stockholm, Sweden, 1998-2001: Associate Professor, KTH 1991-1998: Lecturer, KTH 1987-1991: Doctoral student, KTH ResearchFree boundary problems, partial diff. eq., potential theory, Numerical PDE, Applied and industrial problems, Mathematical Finance, Homogenization Honors/Awards/GrantsAwarded honorary doctorate from Yerevan State University, April 2021. Swedish Institute grant for visit to Armenia Fall 2019. Swedish Research Council 2018-2021 (grants since 1993; with two years missing) STINT grant: collaboration with Jiao Tong Shanghai, 3 years, finishes 2019 Knut and Alice Wallenberg Fund (postdocs Hayk Aleksanyan 2016-2017, Sunghan Kim 2020-2021) STINT grant: collaboration with Seoul National Univ. 3 years, finished 2015 Qatar National research Fund 2012—2016 Simons visiting professor MSRI, Spring 2011 Elected foreign member of National Armenian Academy of Sciences 2008 Letterstedtska Prize from Royal Swedish Academy of Sciences, for Brilliant Mathematics of 2008 Current research workI am currently working on various problems related to free boundaries. These include symmetry and rigidity properties for solutions to PDEs, where we aim at proving that certain solutions to partial differential equations with overdetermined boundary values have to have specific shapes, such as being a spheres, or half-planes, ellipsoids etc. Such problems are of wide interested in PDEs, and there are several problems untouched in the area. Our prime goal is remove previous assumptions, such as smoothness or apriori geometric restrictions. A second topic I have been involved with, and plan to work on are the consideration of free boundaries for system of equations. These problems are in general extremely hard, due to lack of tools present in the scalar case. Here we need to develop new tools to treat such problems. The system case of free boundaries, usually offer no a priori regularity,and one may even encounter examples with singularities. As such we need to find correct assumptions, to circumvent such examples, and difficulties. A third problem I work on is the so-called non scattering phenomena in inverse scattering theory. This problem deals with object hidden inside other objects and the question is how to detect them. A method of approach is to use waves for detection. The question that arise is what type of objects can be detected by such wave-indices. A regularity theory may tell us that certain objects with without corners may not be detected. So our study concerns the regularity of such objects given certain data for studying such objects. PublicationsTotal of 115 publications in peer reviewed international journals. 3 Books and chapters LanguagesArmenian (native), Swedish, English, Persian (full professional efficiency) E-mailhenriksh@math.kth.se |

2021
| Article
J. Differential Equations 284 (2021), 126–155.

2021
| Article
Comm. Partial Differential Equations 46, (2021), no. 10, 1831–1850.

2021
| Article
Res. Math. Sci. 8 (2021), no. 4, Paper No. 58, 19 pp.

2021
| Article
Proc. Amer. Math. Soc. Ser. B 8 (2021), 311–319.

2020
| Article
Anal. PDE 13 (2020), no. 3, 701

Henrik Shahgholian
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2020
| Article
Math. Eng. 2 (2020), no. 4, 698–708.

2019
| Book
Potential Anal. 51 (2019), no. 4, 511–540.

Contacts

Contacts:

**Dean** - Associate Member of NAS RA

**Arthur Sahakyan**

**Dean's Office**: (+374 60) 71-03-66

(inner line 23-66),

**math@ysu.am**

(inner line 23-66),