Office
Office 30 (C3b/148)
E-mail
tokmagambetov@crm.cat
Position
Postdoctoral Researcher
Funding
Beatriu de Pinós
Other funding
Beatriu de Pinós Programme
Research interests
Analysis & PDE
Area
Harmonic Analysis and Approximation Theory
Group
Analysis And Partial Differential Equations
Tokmagambetov, Niyaz
Biosketch
I graduated in 2009 and obtained the PhD degree in Mathematics from Al-Farabi Kazakh National University (Kazakhstan) in 2015. From May 2022, I am a Post-Doctoral Researcher (Beatriu de Pinós Programme) at the Centre de Recerca Matemàtica.
2015: PhD in Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan.
2016-2017: Guest Researcher at Imperial College London, United Kingdom.
2019-2022: Post-doctoral Researcher at Ghent University, Belgium.
2022: Beatriu de Pinós Fellow at CRM, Barcelona.
Other Research Interests
- Partial Differential Equations (PDEs);
- (Non–)Harmonic Analysis on Manifolds;
- Pseudo-differential operators;
- (Non–local) Boundary Value Problems;
- Very weak solutions for PDEs with irregular coefficients and data;
- Fractional Integro–Differential Operators;
- Nonlinear (Damped) Wave equations;
- Inverse (Spectral) Problems;
- Spectral theory;
- Numerical Analysis;
- PDEs on graded Lie groups;
Selected publications
- Altybay, A.; Ruzhansky, M.; Sebih, M. E.; Tokmagambetov, N. The heat equation with strongly singular potentials. Appl. Math. Comput. 399 (2021), Paper No. 126006, 15 pp.
- Ruzhansky, M.; Tokmagambetov, N.; Yessirkegenov, N. Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations. Calc. Var. Partial Differential Equations 59 (2020), no. 5, Paper No. 175, 23 pp.
- Muñoz, J. C.; Ruzhansky, M.; Tokmagambetov, N. Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. J. Math. Pures Appl. (9) 123 (2019), 127–147.
- Tokmagambetov, N.; Torebek, B. T. Green's formula for integro-differential operators. J. Math. Anal. Appl. 468 (2018), no. 1, 473–479.
- Ruzhansky, M.; Tokmagambetov, N. Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups. J. Differential Equations 265 (2018), no. 10, 5212–5236.
- Ruzhansky, M.; Tokmagambetov, N. Wave equation for operators with discrete spectrum and irregular propagation speed. Arch. Ration. Mech. Anal. 226 (2017), no. 3, 1161–1207.
- Delgado, J.; Ruzhansky, M.; Tokmagambetov, N. Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary. J. Math. Pures Appl. (9) 107 (2017), no. 6, 758–783.
- Ruzhansky, M.; Tokmagambetov, N. Nonharmonic analysis of boundary value problems. Int. Math. Res. Not. IMRN 2016, no. 12, 3548–3615.