Antoniouk Alexandra
Publications
Alexandra Antoniouk, Anatoly Kochubei, Discrete-time general fractional calculus, Journal of Pseudo-Differential Operators and Applications, Fractional Calculus and Applied Analysis, Volume 27, pages 2948–2963, (2024) https://doi.org/10.1007/s13540-024-00350-9
Alexandra Antoniouk, Anatoly Kochubei, Oleksii Nikitchenko, Existence and uniqueness for $p$-adic counterpart of the porous medium equation, Journal of Pseudo-Differential Operators and Applications, J. Pseudo-Differ. Oper. Appl. 15, 79 (2024) doi.org/10.1007/s11868-024-00647-6
Antoniouk Alexandra, Kochubei Anatoly, Mariia Serdiuk Pseudo-Differential Equations with Weak Degeneration for Radial Functions of p-adic Argument, Journal of Mathematical Analysis and Applications (2023) doi.org/10.1016/j.jmaa.2023.127026
²ííîâàö³éíà åêîñèñòåìà Óêðà¿íè: îãëÿä ñó÷àñíîñò³ / Î.Â. Àíòîíþê òà ³í. — Êè¿â: ÄÍÓ «Êè¿âñüêèé àêàäåì³÷íèé óí³âåðñèòåò», 2020. — 275 ñ. ISBN 978-966-02-9541-4
Antoniouk Alexandra, Khrennikov Andrei, Kochubei Anatoly, Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables // Journal of Pseudo-Differential Operators and Applications J. Pseudo-Differ. Oper. Appl. (2020) 11:311–343
https://doi.org/10.1007/s11868-019-00320-3
Valsiner, Jaan, Lutsenko, Anastasiia, Antoniouk, Alexandra (Eds.) "Sustainable Futures for Higher Education. The Making of Knowledge Makers". - Springer, 2018. ISBN: 978-3-319-96035-7 https://www.springer.com/us/book/9783319960340
Alexandra Antoniouk, Sergiy Maksymenko "Contractibility of manifolds by means of stochastic flows"// Topological Methods in Nonlinear Analysis, Volume 52, Number 2 (2018), 599-611. http://dx.doi.org/10.12775/TMNA.2018.022
Alexandra Antoniouk, Klaudia Oleschko, Anatoly N.Kochubei, Andrei Yu.Khrennikov A stochastic p-adic model of the capillary flow in porous random medium //Physica A: Statistical Mechanics and its Applications, 2018, V. 505, P. 763-777. https://doi.org/10.1016/j.physa.2018.03.049
Antoniouk, A. Vict.; Kiselev, O. M.; Tarkhanov, N. N. Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point.// Reprint of Ukraïn. Mat. Zh. 66 (2014), no. 10, 1299–1317. Ukrainian Math. J. 66 (2015), no. 10, 1455–1474. https://link.springer.com/article/10.1007/s11253-015-1038-8
Antoniouk, Alexandra; Keller, Karsten; Maksymenko, Sergiy Kolmogorov-Sinai entropy via separation properties of order-generated σ-algebras.// Discrete Contin. Dyn. Syst. 34 (2014), no. 5, 1793–1809.
https://www.aimsciences.org/article/doi/10.3934/dcds.2014.34.1793
Antoniouk, Alexandra; Arnaudon, Marc; Cruzeiro, Ana Bela Generalized stochastic flows and applications to incompressible viscous fluids.// Bull. Sci. Math. 138 (2014), no. 4, 565–584 https://www.sciencedirect.com/science/article/pii/S0007449713001176
Antoniouk, Alexandra; Arnaudon, Marc Variational principle for weighted porous media equation.// C. R. Math. Acad. Sci. Paris 352 (2014), no. 1, 31–34. https://hal.archives-ouvertes.fr/hal-00872159/file/Variational_principle-HAL-2.pdf
Antoniouk, Alexandra; Tarkhanov, Nikolai The Dirichlet problem for the heat equation in domains with cuspidal points on the boundary.// Operator theory, pseudo-differential equations, and mathematical physics, 1–20, Oper. Theory Adv. Appl., 228, Birkhäuser/Springer Basel AG, Basel, 2013. https://link.springer.com/chapter/10.1007/978-3-0348-0537-7_1
Antoniouk, Alexandra V.; Melnik, Roderick V. N. Scientific frontiers at the interface of mathematics and life sciences.// Mathematics and life sciences, 3–15, De Gruyter Ser. Math. Life Sci., 1, De Gruyter, Berlin, 2013.
Antoniouk A.Val, Antoniouk A.Vict., Continuity with respect to initial data and absolute continuity approach to the first order regularity of nonlinear diffusions on noncompact manifolds // Ukr. Math. J., 2008, vol. 60, N 10, p. 1299-1316 https://link.springer.com/article/10.1007/s11253-009-0148-6
Antoniouk A.Val., Antoniouk A.Vict., Non-explosion for nonlinear diffusions on noncompact manifolds //Ukr. Math. J., 2007, vol. 59, N 11, p. 1454-1472
Antoniouk A.Val., Antoniouk A.Vict., Regularity of infinite dimensional heat dynamics of unbounded lattice spins with non-constant diffusion coefficients // Nonlinear Boundary Problems, 2007, vol. 17, p. 88-116
Antoniouk A.Val., Antoniouk A.Vict. Nonlinear calculus of variations and regularity of parabolic problems // Collection of papers of Institute of Mathematics NASU, "Nonlinear Analysis: proceedings of 1-st Ukrainian mathematical congress, 2006, vol. 10, p. 7-19
Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the regularity of infinite dimensional parabolic problems //Ukrainian Math. Journ., 2006, vol. 58, N 5, p.653-673
Antoniouk A.Val, Antoniouk A.Vict., Regularity of nonlinear flows on noncompact Riemannian manifolds: differential vs. stochastic geometry or what kind of variations is natural? // Ukrainian Math. Journ., 2006, 58, N 8, p. 1011-1034
Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the non-Lipschitz gap between boundedness and continuity in $C^\infty$-properties of infinite dimensional semigroups // Nonlinear Boundary Problems, 2006, vol. 16, p. 3-26
Antoniouk A.Val., Antoniouk A.Vict., Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations // Ukrainian Math. Bull., 2004, vol. 1, N 4, p. 449-484
Antoniouk A.Val., Antoniouk A.Vict. Nonlinear estimates approach to the regularity properties of diffusion semigroups// Nonlinear Analysis and Applications: To V.Lakshmikantham on his 80th birthday, in two volumes( Ravi P. Agrawal and Donal O'Regan, eds.), Kluwer, 2003, vol.1, p.165-226
Antoniouk A.Val., Antoniouk A.Vict., High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems // Nonlinear Boundary Problems, 2002, vol. 12, p.3-12
Antoniouk A.Val., Antoniouk A.Vict., High order formula for derivatives of heat semigroups via the integration by parts on Wiener space// Ukrainian Math. Journ., 2001, vol.53, N 1, p.117-122 https://link.springer.com/article/10.1023/A:1010401203717
Antoniouk A.Val., Antoniouk A.Vict. Non-Lipschitz singularities in the Malliavin calculus: Raise of Smoothness for infinite dimensional semigroups Institute of Mathematics NAS Ukraine, Preprint N 96.33, 38 p, Kiev, 1996
Antoniouk A.Val., Antoniouk A.Vict. Quasi-contractive nonlinear calculus of variations and smoothness of discontinuous semigroups, generated by non-lipschitz stochastic differential equations, Institute of Mathematics Institute of Mathematics NAS Ukraine, Preprint N 96.23, 40 p, Kiev, 1996
Antoniouk A.Val., Antoniouk A.Vict. Nonlinear estimates of quasi-contractive type for non-Lipschitz's differential equations and $C^\infty$-smoothing on initial data BiBoS Research center, preprint N 688, 1995
Antoniouk A.Val., Antoniouk A.Vict. Decay of correlations and uniqueness of Gibbs lattice systems with non-quadratic interaction// J. Math. Phys., 1996, vol. 37, N 11, P.4545-4555
Antoniouk A.Val., Antoniouk A.Vict, Weighted Spectral Gap and Logarithmic Sobolev Inequalities and their Applications// Academy of Sciences of Ukraine, Institute of Mathematics Preprint 93.33, Kiev, 1993
Antoniouk A.Val., Antoniouk A.Vict. "How the unbounded drift shapes the Dirichlet semigroups behavior of non-Gaussian Gibbs measures", J.Funct.Anal., 1996, vol.135, p.488-518
Antoniouk A.Val., Antoniouk A.Vict. "Smoothing properties of semigroups for Dirichlet operators of Gibbs measures", J. Funct. Anal., 1995, vol.127, P.390-430
Alexandra Antoniouk, Anatoly Kochubei, Oleksii Nikitchenko, Existence and uniqueness for $p$-adic counterpart of the porous medium equation, Journal of Pseudo-Differential Operators and Applications, J. Pseudo-Differ. Oper. Appl. 15, 79 (2024) doi.org/10.1007/s11868-024-00647-6
Antoniouk Alexandra, Kochubei Anatoly, Mariia Serdiuk Pseudo-Differential Equations with Weak Degeneration for Radial Functions of p-adic Argument, Journal of Mathematical Analysis and Applications (2023) doi.org/10.1016/j.jmaa.2023.127026
²ííîâàö³éíà åêîñèñòåìà Óêðà¿íè: îãëÿä ñó÷àñíîñò³ / Î.Â. Àíòîíþê òà ³í. — Êè¿â: ÄÍÓ «Êè¿âñüêèé àêàäåì³÷íèé óí³âåðñèòåò», 2020. — 275 ñ. ISBN 978-966-02-9541-4
Antoniouk Alexandra, Khrennikov Andrei, Kochubei Anatoly, Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables // Journal of Pseudo-Differential Operators and Applications J. Pseudo-Differ. Oper. Appl. (2020) 11:311–343
https://doi.org/10.1007/s11868-019-00320-3
Valsiner, Jaan, Lutsenko, Anastasiia, Antoniouk, Alexandra (Eds.) "Sustainable Futures for Higher Education. The Making of Knowledge Makers". - Springer, 2018. ISBN: 978-3-319-96035-7 https://www.springer.com/us/book/9783319960340
Alexandra Antoniouk, Sergiy Maksymenko "Contractibility of manifolds by means of stochastic flows"// Topological Methods in Nonlinear Analysis, Volume 52, Number 2 (2018), 599-611. http://dx.doi.org/10.12775/TMNA.2018.022
Alexandra Antoniouk, Klaudia Oleschko, Anatoly N.Kochubei, Andrei Yu.Khrennikov A stochastic p-adic model of the capillary flow in porous random medium //Physica A: Statistical Mechanics and its Applications, 2018, V. 505, P. 763-777. https://doi.org/10.1016/j.physa.2018.03.049
Antoniouk, A. Vict.; Kiselev, O. M.; Tarkhanov, N. N. Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point.// Reprint of Ukraïn. Mat. Zh. 66 (2014), no. 10, 1299–1317. Ukrainian Math. J. 66 (2015), no. 10, 1455–1474. https://link.springer.com/article/10.1007/s11253-015-1038-8
Antoniouk, Alexandra; Keller, Karsten; Maksymenko, Sergiy Kolmogorov-Sinai entropy via separation properties of order-generated σ-algebras.// Discrete Contin. Dyn. Syst. 34 (2014), no. 5, 1793–1809.
https://www.aimsciences.org/article/doi/10.3934/dcds.2014.34.1793
Antoniouk, Alexandra; Arnaudon, Marc; Cruzeiro, Ana Bela Generalized stochastic flows and applications to incompressible viscous fluids.// Bull. Sci. Math. 138 (2014), no. 4, 565–584 https://www.sciencedirect.com/science/article/pii/S0007449713001176
Antoniouk, Alexandra; Arnaudon, Marc Variational principle for weighted porous media equation.// C. R. Math. Acad. Sci. Paris 352 (2014), no. 1, 31–34. https://hal.archives-ouvertes.fr/hal-00872159/file/Variational_principle-HAL-2.pdf
Antoniouk, Alexandra; Tarkhanov, Nikolai The Dirichlet problem for the heat equation in domains with cuspidal points on the boundary.// Operator theory, pseudo-differential equations, and mathematical physics, 1–20, Oper. Theory Adv. Appl., 228, Birkhäuser/Springer Basel AG, Basel, 2013. https://link.springer.com/chapter/10.1007/978-3-0348-0537-7_1
Antoniouk, Alexandra V.; Melnik, Roderick V. N. Scientific frontiers at the interface of mathematics and life sciences.// Mathematics and life sciences, 3–15, De Gruyter Ser. Math. Life Sci., 1, De Gruyter, Berlin, 2013.
Antoniouk A.Val, Antoniouk A.Vict., Continuity with respect to initial data and absolute continuity approach to the first order regularity of nonlinear diffusions on noncompact manifolds // Ukr. Math. J., 2008, vol. 60, N 10, p. 1299-1316 https://link.springer.com/article/10.1007/s11253-009-0148-6
Antoniouk A.Val., Antoniouk A.Vict., Non-explosion for nonlinear diffusions on noncompact manifolds //Ukr. Math. J., 2007, vol. 59, N 11, p. 1454-1472
Antoniouk A.Val., Antoniouk A.Vict., Regularity of infinite dimensional heat dynamics of unbounded lattice spins with non-constant diffusion coefficients // Nonlinear Boundary Problems, 2007, vol. 17, p. 88-116
Antoniouk A.Val., Antoniouk A.Vict. Nonlinear calculus of variations and regularity of parabolic problems // Collection of papers of Institute of Mathematics NASU, "Nonlinear Analysis: proceedings of 1-st Ukrainian mathematical congress, 2006, vol. 10, p. 7-19
Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the regularity of infinite dimensional parabolic problems //Ukrainian Math. Journ., 2006, vol. 58, N 5, p.653-673
Antoniouk A.Val, Antoniouk A.Vict., Regularity of nonlinear flows on noncompact Riemannian manifolds: differential vs. stochastic geometry or what kind of variations is natural? // Ukrainian Math. Journ., 2006, 58, N 8, p. 1011-1034
Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the non-Lipschitz gap between boundedness and continuity in $C^\infty$-properties of infinite dimensional semigroups // Nonlinear Boundary Problems, 2006, vol. 16, p. 3-26
Antoniouk A.Val., Antoniouk A.Vict., Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations // Ukrainian Math. Bull., 2004, vol. 1, N 4, p. 449-484
Antoniouk A.Val., Antoniouk A.Vict. Nonlinear estimates approach to the regularity properties of diffusion semigroups// Nonlinear Analysis and Applications: To V.Lakshmikantham on his 80th birthday, in two volumes( Ravi P. Agrawal and Donal O'Regan, eds.), Kluwer, 2003, vol.1, p.165-226
Antoniouk A.Val., Antoniouk A.Vict., High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems // Nonlinear Boundary Problems, 2002, vol. 12, p.3-12
Antoniouk A.Val., Antoniouk A.Vict., High order formula for derivatives of heat semigroups via the integration by parts on Wiener space// Ukrainian Math. Journ., 2001, vol.53, N 1, p.117-122 https://link.springer.com/article/10.1023/A:1010401203717
Antoniouk A.Val., Antoniouk A.Vict. Non-Lipschitz singularities in the Malliavin calculus: Raise of Smoothness for infinite dimensional semigroups Institute of Mathematics NAS Ukraine, Preprint N 96.33, 38 p, Kiev, 1996
Antoniouk A.Val., Antoniouk A.Vict. Quasi-contractive nonlinear calculus of variations and smoothness of discontinuous semigroups, generated by non-lipschitz stochastic differential equations, Institute of Mathematics Institute of Mathematics NAS Ukraine, Preprint N 96.23, 40 p, Kiev, 1996
Antoniouk A.Val., Antoniouk A.Vict. Nonlinear estimates of quasi-contractive type for non-Lipschitz's differential equations and $C^\infty$-smoothing on initial data BiBoS Research center, preprint N 688, 1995
Antoniouk A.Val., Antoniouk A.Vict. Decay of correlations and uniqueness of Gibbs lattice systems with non-quadratic interaction// J. Math. Phys., 1996, vol. 37, N 11, P.4545-4555
Antoniouk A.Val., Antoniouk A.Vict, Weighted Spectral Gap and Logarithmic Sobolev Inequalities and their Applications// Academy of Sciences of Ukraine, Institute of Mathematics Preprint 93.33, Kiev, 1993
Antoniouk A.Val., Antoniouk A.Vict. "How the unbounded drift shapes the Dirichlet semigroups behavior of non-Gaussian Gibbs measures", J.Funct.Anal., 1996, vol.135, p.488-518
Antoniouk A.Val., Antoniouk A.Vict. "Smoothing properties of semigroups for Dirichlet operators of Gibbs measures", J. Funct. Anal., 1995, vol.127, P.390-430