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
Publications
Research Highlights
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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.
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Kondratiev, V., Liskevich, V., & Sobol, Z. (2003). Second-order semilinear elliptic inequalities in exterior domains. Journal of Differential Equations, 187(2), 429-455.
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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., 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.
All Research
Journal Articles
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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)
-
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
-
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.
-
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.
-
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.
-
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).
Supervision
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Chemical potential for Bose-Einstein condensate in infinitie volume by GPE model (awarded 2018)
PhDOther supervisor: Prof Vitaly Moroz
Taught Modules
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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-381 Functional Analysis
An introduction to Functional Analysis
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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.
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MA-M81 Functional Analysis
An introduction to Functional Analysis