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Rafayel Teymurazyan. Completed the Doutoramento in Física Matemática e Mecânica dos Meios Contínuos in 2013 by Universidade de Lisboa Faculdade de Ciências, Doctor in Differential Equations in 2009 by Yerevan State University, Master in Mathematics in 2006 by Yerevan State University and Bachelor in Mathematics in 2004 by Yerevan State University. Is Researcher in Universidade de Coimbra Centro de Matemática.
Identification

Personal identification

Full name
Rafayel Teymurazyan

Citation names

  • Teymurazyan, Rafayel

Author identifiers

Ciência ID
031D-9A3E-C4BD
ORCID iD
0000-0002-5263-8992

Addresses

  • Departamento de Matemática / Universidade de Coimbra. Apartado 3008, EC Santa Cruz, 3001-501, Coimbra, Coimbra, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics
Education
Degree Classification
2008 - 2013
Concluded
Física Matemática e Mecânica dos Meios Contínuos (Doutoramento)
Major in Mathematics
Universidade de Lisboa Faculdade de Ciências, Portugal
"Obstacle Type Problems in Orlicz-Sobolev Spaces" (THESIS/DISSERTATION)
Aprovado com Distinção e Louvor
2011 - 2012
Concluded
UT Austin - Portugal CoLab program (Doctor of Philosophy)
Major in Differential Equations
University of Texas at Austin Department of Mathematics, United States
2006 - 2009
Concluded
Differential Equations (Doctor)
Yerevan State University, Armenia
"On the obstacle problem and some parabolic free boundary problems of Bernoulli type" (THESIS/DISSERTATION)
Doctor of Mathematics
2004 - 2006
Concluded
Mathematics (Master)
Yerevan State University, Armenia
"Regularity of free boundary of obstacle type" (THESIS/DISSERTATION)
Master's degree of Mathematics
2000 - 2004
Concluded
Mathematics (Bachelor)
Yerevan State University, Armenia
"The obstacle problem: Existence, uniqueness and the regularity of solution" (THESIS/DISSERTATION)
Bachelor's degree of Mathematics
Affiliation

Science

Category
Host institution
Employer
2023/05/01 - Current Researcher (Research) King Abdullah University of Science and Technology, Saudi Arabia
King Abdullah University of Science and Technology Computer Electrical and Mathematical Science and Engineering Division, Saudi Arabia
2023/03/01 - 2029/02/28 Auxiliary Researcher (Research) Universidade de Coimbra Departamento de Matemática, Portugal
2018/12/27 - 2023/02/28 Researcher (Research) Universidade de Coimbra Centro de Matemática, Portugal
2014/12/01 - 2018/12/26 Postdoc (Research) Universidade de Coimbra Departamento de Matemática, Portugal
2013/11/01 - 2014/11/30 Postdoc (Research) Universidade Federal do Ceará, Brazil
2012/11/28 - 2013/03/28 Researcher (Research) Universidade de Lisboa Faculdade de Ciências, Portugal
2009/06/01 - 2009/12/31 Researcher (Research) National Academy of Sciences of the Republic of Armenia, Armenia

Teaching in Higher Education

Category
Host institution
Employer
2019/02 - 2023/04 Lecturer (University Teacher) Universidade de Coimbra, Portugal
2006/09/01 - 2007/06/30 Lecturer (University Teacher) Yerevan State University, Armenia

Others

Category
Host institution
Employer
2011/01/06 - 2012/09/01 PhD student University of Texas at Austin Department of Mathematics, United States
Projects

Grant

Designation Funders
2018/09/01 - 2022/08/31 New Perspectives in Nonlinear PDEs: unbalanced optimal transport, reaction-diffusion systems and nonlocal equations
PTDC/MAT-PUR/28686/2017
Researcher
Fundação para a Ciência e a Tecnologia
Ongoing
2018/11/01 - 2020/10/31 Modeling and Analysis of Coastal Hydrodynamics and Erosion
UTAP-EXPL/MAT/0017/2017
Researcher
Fundação para a Ciência e a Tecnologia
Ongoing

Contract

Designation Funders
2023/03/01 - 2029/02/28 New trends on nonlinear PDEs: non-local equations and free boundary problems
2022.02357.CEECIND/CP1714/CT0001
Researcher
Universidade de Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2019/01/01 - 2019/12/31 Center for Mathematics, University of Coimbra
UID/MAT/00324/2019
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Conference paper
  1. da Silva, João Vitor; Ricarte, Gleydson; Teymurazyan, Rafayel. "A free boundary problem ruled by infinity Laplacian". Paper presented in VI MACI 2017 - Sexto Congreso de Matemática Aplicada, Computacional e Industrial, Comodoro Rivadavia, 2017.
    Published
Journal article
  1. Araújo, Damião J.; Teymurazyan, Rafayel. "Fully nonlinear dead-core systems". Journal of Functional Analysis (2024): 110586. http://dx.doi.org/10.1016/j.jfa.2024.110586.
    10.1016/j.jfa.2024.110586
  2. Araújo, Damião J.; Teymurazyan, Rafayel; Voskanyan, Vardan. "Sharp regularity for singular obstacle problems". Mathematische Annalen 387 (2023): 1367-1401. http://dx.doi.org/10.1007/s00208-022-02496-4.
    Published • 10.1007/s00208-022-02496-4
  3. Araújo, Damião J.; Teymurazyan, Rafayel. "An optimal Liouville theorem for the porous medium equation". Archiv der Mathematik (2022): http://dx.doi.org/10.1007/s00013-022-01706-4.
    10.1007/s00013-022-01706-4
  4. Diehl, Nicolau M.L.; Teymurazyan, Rafayel. "Reaction–diffusion equations for the infinity Laplacian". Nonlinear Analysis 199 (2020): 111956. http://dx.doi.org/10.1016/j.na.2020.111956.
    Published • 10.1016/j.na.2020.111956
  5. Caffarelli, Luis; Teymurazyan, Rafayel; Urbano, José Miguel. "Fully nonlinear integro-differential equations with deforming kernels". Communications in Partial Differential Equations 45 8 (2020): 847-871. http://dx.doi.org/10.1080/03605302.2020.1739706.
    Published • 10.1080/03605302.2020.1739706
  6. Ricarte, Gleydson; Teymurazyan, Rafayel; Urbano, José Miguel. "Singularly perturbed fully nonlinear parabolic problems and their asymptotic free boundaries". Revista Matemática Iberoamericana 35 5 (2019): 1535-1558. http://dx.doi.org/10.4171/rmi/1091.
    10.4171/rmi/1091
  7. Amaral, Marcelo D.; da Silva, João Vitor; Ricarte, Gleydson C.; Teymurazyan, Rafayel. "Sharp regularity estimates for quasilinear evolution equations". Israel Journal of Mathematics 231 1 (2019): 25-45. http://dx.doi.org/10.1007/s11856-019-1842-1.
    10.1007/s11856-019-1842-1
  8. Marcon, Diego; Rodrigues, José Francisco; Teymurazyan, Rafayel. "Homogenization of obstacle problems in Orlicz-Sobolev spaces". Portugaliae Mathematica 75 3 (2018): 267-283. http://dx.doi.org/10.4171/pm/2019.
    10.4171/pm/2019
  9. Teymurazyan, Rafayel; Urbano, José Miguel. "A free boundary optimization problem for the infinity Laplacian". Journal of Differential Equations 263 2 (2017): 1140-1159. http://dx.doi.org/10.1016/j.jde.2017.03.010.
    10.1016/j.jde.2017.03.010
  10. Ricarte, G.C.; Silva, J.V.; Teymurazyan, R.. "Cavity type problems ruled by infinity Laplacian operator". Journal of Differential Equations 262 3 (2017): 2135-2157. http://dx.doi.org/10.1016/j.jde.2016.10.044.
    10.1016/j.jde.2016.10.044
  11. Teixeira, Eduardo V.; Teymurazyan, Rafayel. "Optimal design problems with fractional diffusions". Journal of the London Mathematical Society 92 2 (2015): 338-352. http://dx.doi.org/10.1112/jlms/jdv034.
    10.1112/jlms/jdv034
  12. Challal, Samia; Lyaghfouri, Abdeslem; Rodrigues, José Francisco; Teymurazyan, Rafayel. "On the regularity of the free boundary for quasilinear obstacle problems". Interfaces and Free Boundaries 16 3 (2014): 359-394. http://dx.doi.org/10.4171/ifb/323.
    10.4171/ifb/323
  13. Rodrigues, José Francisco; Teymurazyan, Rafayel. "On the two obstacles problem in Orlicz–Sobolev spaces and applications". Complex Variables and Elliptic Equations 56 7-9 (2011): 769-787. http://dx.doi.org/10.1080/17476933.2010.505016.
    10.1080/17476933.2010.505016
  14. Poghosyan, M.; Teymurazyan, R.. "One-phase parabolic free boundary problem in a convex ring". Journal of Contemporary Mathematical Analysis 44 3 (2009): 192-204. http://dx.doi.org/10.3103/s1068362309030054.
    10.3103/s1068362309030054