About
Dr Zeev Sobol is a member of the Mathematics Department at Swansea University
Dr Zeev Sobol
Senior Lecturer
Mathematics
Office - 313
Third Floor
Computational Foundry
Bay Campus
Third Floor
Computational Foundry
Bay Campus
Research Links
Publications
Research Highlights
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Abdul-Zahra, K. & Sobol, Z. (2025). Bose–Einstein Condensation and Non-Existence Solution: Differential Equation Approach. Memoirs on Differential Equations and Mathematical Physics, 96, 1-28.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa70550
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Hevage, I., Ibraguimov, A., & Sobol, Z. (2024). Stability Analysis of Degenerate Einstein Model of Brownian Motion. American Journal of Applied Mathematics, 12(5), 118-132.
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IBRAGIMOV, A., Sobol, Z., & HEVAGE, I. (2023). Einstein's model of "the movement of small particles in a stationary liquid" revisited: finite propagation speed. Turkish Journal of Mathematics, 47(3), 934-948.
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Elst, A., Liskevich, V., Sobol, Z., & Vogt, H. (2017). On the Lp-theory of C0-semigroups associated with second-order elliptic operators with complex singular coefficients. Proceedings of the London Mathematical Society, 115(4)
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Kondratiev, V., Liskevich, V., & Sobol, Z. (2009). Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains. Trans. Amer. Math. Soc., 361(2), 697-713.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1090
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Hoang, L., Ibragimov, A., Kieu, T., & Sobol, Z. (2015). STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE. Journal of Mathematical SciencesSU Repository: https://cronfa.swan.ac.uk/Record/cronfa22749
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Liskevich, V., Skrypnik, I., & Sobol, Z. (2011). Potential estimates for quasi-linear parabolic equations. Advanced Nonlinear Studies, 11SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1091
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Kondratiev, V., Liskevich, V., & Sobol, Z. (2008). Positive Solutions to Semi-Linear and Quasi-Linear Elliptic Equations on Unbounded Domains. Handbook of Differential Equations - Stationary Partial Differential Equations (pp. 177-267).
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Sobol, Z., Vogt, H., & Liskevich, V. (2002). On the Lp-Theory of C0-Semigroups Associated with Second-Order Elliptic Operators, I. Journal of Functional Analysis, 193(1), 24-54.
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Liskevich, V. & Sobol, Z. (2003). Estimates of Integral Kernels for Semigroups Associated with Second-Order Elliptic Operators with Singular Coefficients. Potential analysis, 18(4), 359-390.
All Research
Journal Articles
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Abdul-Zahra, K. & Sobol, Z. (2025). Bose–Einstein Condensation and Non-Existence Solution: Differential Equation Approach. Memoirs on Differential Equations and Mathematical Physics, 96, 1-28.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa70550
-
Hevage, I., Ibraguimov, A., & Sobol, Z. (2024). Stability Analysis of Degenerate Einstein Model of Brownian Motion. American Journal of Applied Mathematics, 12(5), 118-132.
-
IBRAGIMOV, A., Sobol, Z., & HEVAGE, I. (2023). Einstein's model of "the movement of small particles in a stationary liquid" revisited: finite propagation speed. Turkish Journal of Mathematics, 47(3), 934-948.
-
Elst, A., Liskevich, V., Sobol, Z., & Vogt, H. (2017). On the Lp-theory of C0-semigroups associated with second-order elliptic operators with complex singular coefficients. Proceedings of the London Mathematical Society, 115(4)
-
Hoang, L., Ibragimov, A., Kieu, T., & Sobol, Z. (2015). STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE. Journal of Mathematical SciencesSU Repository: https://cronfa.swan.ac.uk/Record/cronfa22749
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Ghergu, M., Liskevich, V., & Sobol, Z. (2014). Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls. Journal d'Analyse Mathématique, 123(1), 251-279.
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Liskevich, V., SHISHKOV, A., & Sobol, Z. (2012). SINGULAR SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR ABSORPTION AND HARDY POTENTIALS. Communications in Contemporary Mathematics, 14(02), 1250013-1
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Sobol, Z., Skrypnik, I., & Liskevich, V. (2012). Estimates of solutions for the parabolic $p$-Laplacian equation with measure via parabolic nonlinear potentials. Communications on Pure and Applied Analysis, 12(4)-1744.
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Liskevich, V., Skrypnik, I., & Sobol, Z. (2011). Potential estimates for quasi-linear parabolic equations. Advanced Nonlinear Studies, 11SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1091
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Liskevich, V., Skrypnik, I., Sobol, Z., Sobol, Z., & Liskevich, V. (2011). Gradient estimates for degenerate quasi-linear parabolic equations. Journal of the London Mathematical Society, 84(2), 446-474.
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Kondratiev, V., Liskevich, V., & Sobol, Z. (2009). Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains. Trans. Amer. Math. Soc., 361(2), 697-713.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1090
-
Kondratiev, V., Liskevich, V., & Sobol, Z. (2008). Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains. Transactions of the American Mathematical Society, 361(02)-713.
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Röckner, M. & Sobol, Z. (2006). Kolmogorov equations in infinite dimensions: Well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations. The Annals of Probability, 34(2), 663-727.
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Liskevich, V. & Sobol, Z. (2003). Estimates of Integral Kernels for Semigroups Associated with Second-Order Elliptic Operators with Singular Coefficients. Potential analysis, 18(4), 359-390.
-
Kondratiev, V., Liskevich, V., & Sobol, Z. (2003). Second-order semilinear elliptic inequalities in exterior domains. Journal of Differential Equations, 187(2), 429-455.
-
Sobol, Z., Vogt, H., & Liskevich, V. (2002). On the Lp-Theory of C0-Semigroups Associated with Second-Order Elliptic Operators, I. Journal of Functional Analysis, 193(1), 24-54.
Book Chapters
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Kondratiev, V., Liskevich, V., & Sobol, Z. (2008). Positive Solutions to Semi-Linear and Quasi-Linear Elliptic Equations on Unbounded Domains. Handbook of Differential Equations - Stationary Partial Differential Equations (pp. 177-267).
Taught Modules
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MA-014 Fundamentals of Calculus and Probability
The module introduces a range of topics in calculus and probability. In particular, the module covers an introduction to differentiation and integration as well as techniques to solve well defined problems. The module also covers the solution of basic differential equations and provides an introduction to probability theory, establishing a foundation for further study in mathematics, science, and engineering.
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MA-015 Mathematical Foundations: Algebra and Functions
This module introduces key ideas in algebra and functions that form the building blocks for further study in mathematics. It begins with a review of number systems and algebraic techniques before moving on to polynomials, equations, and inequalities. Students will explore functions and their graphs, develop confidence in manipulating algebraic expressions, and be introduced to the concept of complex numbers. The module also covers sequences and series and shows how functions can be represented using power series. The emphasis is on building understanding and problem-solving ability, with frequent use of graphical representation to support learning.
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MA-274 Credibility, Liability and Ruin
This module addresses key sections of the Institute and Faculty of Actuaries Core Principles,namely CM2 5.1 and 5.2, in addition to Bayesian Statistics.
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MA-345 Cashflows and Interest Rates
This module will introduce students to sections 1, 2 and 3 of the Institute and Faculty of Actuaries CM1 syllabus. This module covers a detailed analysis of cashflows and interest rates with actuarial applications.
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MA-346 Assurance and annuity
This module will introduce students to sections 4, 5 and 6 of the Institute and Faculty of Actuaries CM1 syllabus. This module covers the actuarial pricing structure of life assurance and annuity contracts, including a variety of payment and premium structures as well as two-life policies.
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MA-M045 Cashflows and Interest Rates
This module covers a detailed analysis of cashflows and interest rates with actuarial applications. It covers material relating to sections 1, 2 and 3 of the Institute and Faculty of Actuaries CM1 syllabus.
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MA-M046 Assurance and Annuity
This module covers the actuarial pricing structure of life assurance and annuity contracts, including a variety of payment and premium structures as well as two-life policies. It covers material related to sections 4, 5 and 6 of the Institute and Faculty of Actuaries CM1 syllabus.
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MA-M39 Probability and Statistics for Finance
This module provides an applied introduction to the theories of probability and statistics with a particular focus on applications from finance and insurance. It takes a practical approach and focuses on the use of the programming language R in statistical analysis. It covers material related to the syllabus for CS1 from the Institute and Faculty of Actuaries.
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MA-M45 Cashflows and Interest Rates
This module covers a detailed analysis of cashflows and interest rates with actuarial applications. It covers material relating to sections 1, 2 and 3 of the Institute and Faculty of Actuaries CM1 syllabus.
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MA-M46 Assurance and Annuity
This module covers the actuarial pricing structure of life assurance and annuity contracts, including a variety of payment and premium structures as well as two-life policies. It covers material related to sections 4, 5 and 6 of the Institute and Faculty of Actuaries CM1 syllabus.