Dr Bolys Sabitbek
Postdoctoral Research Assistant
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Member of Prof Claudia Garetto's Research Group
| Funder: | EPSRC Engineering and Physical Sciences Research Council |
| Project: | Hyperbolic problems with discontinuous coefficients-GRANT TRANSFER |
Research
Hyperbolic PDE, Nonlinear PDE, Functional Inequalities, Fourier Integral Operators
Interests
I am currently working on weakly and singular hyperbolic problems and the application of Fourierintegral operators. Also I have been interested in the existence and blow-up phenomena of solutions to
nonlinear PDEs, and extending Hardy and Rellich inequalities to non-Euclidean spaces such as Carnot
groups.
Publications
Publications of specific relevance to the Centre for Geometry, Analysis and Gravitation2025
Weighted and Logarithmic Caffarelli-Kohn-Nirenberg type inequalities on stratified groups and applicationsSabitbek B
, Institute of Mathematics and Mathematical Modeling vol. 25 (1), 50-70.
07-04-2025
Hardy and Rellich Inequalities with Bessel PairsRuzhansky M and Sabitbek B
Proceedings of The Edinburgh Mathematical Society, Cambridge University Press (Cup), 1-18.
31-03-2025
C∞ Well-Posedness of Higher Order Hyperbolic Pseudo-Differential Equations with MultiplicitiesGaretto C and Sabitbek B
Acta Applicandae Mathematicae, Springer Nature vol. 196 (1)
27-02-2025
2024
Global existence and blow-up of solutions to the double nonlinear porous medium equationSabitbek B and Torebek BT
Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences (Aims) vol. 44 (3), 743-767.
01-01-2024
2023
Blow-up solutions of damped Klein–Gordon equation on the Heisenberg groupRuzhansky M and Sabitbek B
European Journal of Mathematics, Springer Nature vol. 9 (3)
17-07-2023
Global existence and nonexistence of solutions for semilinear wave equation with a new conditionSabitbek B
Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences (Aims) vol. 43 (7), 2637-2657.
01-01-2023
2022
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified GroupsOralsyn G and Sabitbek B
Complex Analysis and Operator Theory, Springer Nature vol. 16 (7)
19-09-2022
Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groupsRuzhansky M, Sabitbek B and Torebek B
Manuscripta Mathematica, Springer Nature vol. 171 (3-4), 377-395.
04-05-2022
2021
Global existence and nonexistence of semilinear wave equation with a new
conditionSabitbek B
Discrete and Continuous Dynamical Systems vol. 2023
22-11-2021
Global existence and blow-up of solutions to the double nonlinear porous
medium equationSabitbek B and Torebek B
Discrete and Continuous Dynamical Systems, 2024, Volume 44, Issue 3: 743-767
14-04-2021
Principal frequency of p-sub-Laplacians for general vector fieldsRuzhansky M, Sabitbek B and Suragan D
Zeitschrift FüR Analysis Und Ihre Anwendungen, Ems Press vol. 40 (1), 97-109.
21-01-2021
Geometric Hardy Inequalities on Starshaped SetsRuzhansky M, Sabitbek B and Suragan D
Journal of Convex Analysis, Heldermann Verlag vol. 28 (3)
01-01-2021
2020
Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groupsRuzhansky M, Sabitbek B and Suragan D
Bulletin of Mathematical Sciences, World Scientific Publishing vol. 10 (03)
04-07-2020
Subelliptic geometric Hardy type inequalities on half-spaces and convex domainsRuzhansky M, Sabitbek B and Suragan D
Annals of Functional Analysis, Springer Nature vol. 11 (4), 1042-1061.
02-04-2020
Hardy and Rellich inequalities for anisotropic p-sub-LaplaciansRuzhansky M, Sabitbek B and Suragan D
Banach Journal of Mathematical Analysis, Springer Nature vol. 14 (2), 380-398.
01-01-2020
2019
Weighted anisotropic Hardy and Rellich type inequalities for general vector fieldsRuzhansky M, Sabitbek B and Suragan D
Nonlinear Differential Equations and Applications Nodea, Springer Nature vol. 26 (2)
01-04-2019
2018
Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness.Garetto C
Mathematishe Annalen
01-12-2018
Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groupsRuzhansky M, Sabitbek B and Suragan D
Revista Matematica Complutense, 1-17.
29-06-2018
Orbit design for a phobos-deimos cycler missionSabitbek B and Gunter BC
Advances in the Astronautical Sciences. vol. 162, 1497-1506.
01-01-2018
On green functions for Dirichelet sub-Laplacians on a Quaternion Heisenberg groupSabitbek B and Suragan D
Mathematical Modelling of Natural Phenomena, Edp Sciences vol. 13 (4)
01-01-2018
2017
Improved critical Hardy inequalities on 2-dimensional quasi-ballsSabitbek B, Suragan D and Yessirkegenov N
AIP Conference Proceedings. vol. 1880 (1)
11-09-2017
On Hardy and Rellich type inequalities for an Engel-type operatorSabitbek B
AIP Conference Proceedings. vol. 1880 (1)
11-09-2017
Horizontal Weighted Hardy–Rellich Type Inequalities on Stratified Lie GroupsSabitbek B and Suragan D
Complex Analysis and Operator Theory, Springer Nature vol. 12 (6), 1469-1480.
25-02-2017
A Boundary Condition of the Volume Potential for Strongly Elliptic Differential EquationsKal’menov TS and Sabitbek B
Springer Proceedings in Mathematics & Statistics. vol. 216, 235-244.
01-01-2017
2016
An inequality for Schatten p-norms of compact operatorsKalmenov TS, Suragan D and Sabitbek B
AIP Conference Proceedings. vol. 1759 (1)
10-08-2016
2015
On eigenvalue inequalities of the Newton potentialKal’menov T, Suragan D and Sabitbek B
AIP Conference Proceedings. vol. 1676 (1)
18-09-2015
On eigenvalue inequalities of the Newton potentialKal'menov T, Suragan D and Sabitbek B
ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015). vol. 1676
01-01-2015
2013
On Isoperimetric Inequalities of Riesz Potentials and Applicationsynysbek SK, Ernazar N and Bolys S
Applied Mathematics, Scientific Research Publishing vol. 04 (07), 1-4.
01-01-2013