Dr Bolys Sabitbek
Postdoctoral Research Assistant
School of Mathematical Sciences
Queen Mary University of London
| 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 Fourier
integral 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 Gravitation
2025
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)
17-07-2023Global 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
