Publication
B. Sabitbek and A. Shao, Asymptotics and Scattering for Critically Weakly Hyperbolic and Singular Systems, (2025). Preprint: arXiv:2506.11348
C. Garetto and B. Sabitbek, $C^\infty$ well-posedness of higher order hyperbolic pseudo-differential equations with multiplicities. Acta Applicandae Mathematicae, 196, 4 (2025). Preprint: arXiv:2305.12832
M. Ruzhansky, B. Sabitbek, Hardy and Rellich inequalities with Bessel pairs. Proceedings of the Edinburgh Mathematical Society (2025) . arXiv:2101.07008
C. Garetto and B. Sabitbek, Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, III: singular coefficients. Mathematische Annalen (2024), https://doi.org/10.1007/s00208-023-02792-7. Preprint: arXiv:2305.12832
B. Sabitbek, B. Torebek, Global existence and blow-up of solutions to the nonlinear porous medium equation. Discrete and Continuous Dynamical Systems (accepted). arXiv:2104.06896 (2023)
M. Ruzhansky, B. Sabitbek, Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group. European Journal of Mathematics, 9, 61, arXiv:2205.02705, (2023)
B. Sabitbek, Global existence and nonexistence of solutions for semilinear wave equation with a new condition. Discrete and Continuous Dynamical Systems, arXiv:2111.11334, (2023)
M. Ruzhansky, B. Sabitbek, B. Torebek, Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups. Manuscript Math., DOI, arXiv:2106.00406, (2022)
G. Oralsyn, B. Sabitbek, Blow-up theorems for p-sub-Laplacian Heat operators on stratified groups. Complex Analysis and Operator Theory, 16, 99 (2022)
M. Ruzhansky, B. Sabitbek, D. Suragan, Geometric Hardy inequalities on starshaped sets. Journal of Convex Analysis, 28, (2021)
M. Ruzhansky, B. Sabitbek, D. Suragan, Principal frequency of p-versions of sub Laplacian for general vector fields. Z. Anal. Anwend. , 40 (2021), no. 1, 97–109.
M. Ruzhansky, B. Sabitbek, D. Suragan, Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bull. Math. Sci., Vol. 10, No. 03, 2050016 (2020)
M. Ruzhansky, B. Sabitbek, D. Suragan, Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Ann. Funct. Anal., 11(4), 1042-1061, (2020).
M. Ruzhansky, B. Sabitbek, D. Suragan, Hardy and Rellich inequalities for anisotropic p-sub-Laplacians, Banach J. Math. Anal., 14 (2020), 380-398.
M. Ruzhansky, B. Sabitbek, D. Suragan, Weighted anisotropic Hardy and Rellich type inequalities for general vector fields, NoDEA Nonlinear Differential Equations Appl., 26 (2019), no. 2, 26:13.
M. Ruzhansky, B. Sabitbek, D. Suragan, Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups. Rev. Mat. Complutense. 32 (2019), 19-35.
B. Sabitbek, D. Suragan, On green functions for Dirichelet sub-Laplacians on a Quaternion Heisenberg group, Mathematical Modelling of Natural Phenomena, (2018) 39.
B. Sabitbek, D. Suragan, Horizontal Weighted Hardy–Rellich Type inequality on Stratified Lie groups. Complex Anal. Oper. Theory. 12(6), (2018), 14691480.
B. Sabitbek, B. Gunter, Orbit Design for a Phobos-Deimos Cycler Mission. Advances in the Astronautical Sciences. (2018)
B. Sabitbek, D. Suragan, Hardy and Rellich type inequalities on the complex affine group, Eurasian Mathematical Journal, (2017). 8(2). 31-39.
T.Sh. Kalmenov, B. Sabitbek, On Hardy and Rellich type inequalities for the Grushin operator. Mathematical Journal, – 2018, – V. 18, – No. 2(68), – P. 133-142.
B. Sabitbek, Embedding theorem of Sobolev type spaces on stratified Lie groups. Mathematical Journal, – 2016, – V. 16, – No. 3(61), – P. 166-180.
Preprint
B. Sabitbek, A. Shao: Asymptotics and Scattering for Critically Weakly Hyperbolic and Singular Systems. (2025) arXiv:2506.11348
C. Garetto, B. Sabitbek: On Higher Order Hyperbolic Cauchy Problems with Variable Multiplicities and (t,x)-Dependent Coeffients. (2025) submitted.
B. Sabitbek, Global existence and nonexistence of solutions for Klein-Gordon equation with p-Laplacian. (2023) submitted.
In Progress
C. Garetto and B. Sabitbek, $C^\infty$ well-posedness of higher order hyperbolic pseudo-differential equations with multiplicities. II