Antoniouk Oleksandr
Publications
1. A.Val.Antoniouk, A.Vict.Antoniouk, J.G.Kondrativ, Essential self-adjointness of Dirichlet operators of Gibbs measures on the infinite product of manifolds, Ukrainian Math. Journal, v. 47, N 1, 1995, p. 4-11.
2. A.Val.Antoniouk, A.Vict.Antoniouk, S.Albeverio, J.G.Kondrativ, Dirichlet operators semigroups in some Gibbs lattice spin systems, Methods of Functional Analysis and topology v. 1, 1996, p. 1-32.
3. A.Val.Antoniouk, A.Vict.Antoniouk, Smoothing properties of semigroups for Dirichlet operators of Gibbs measures. Journal of Functional Analysis, v. 127, 1995, p. 390-430.
4. A.Val.Antoniouk, A.Vict.Antoniouk, How the unbounded drift shapes the Dirichlet semigroup behaviour of non-Gaussian Gibbs measures, Journal of Functional Analysis, v 135, 1996, p. 488-518.
5. A.Val.Antoniouk, A.Vict.Antoniouk, High order formulae for derivatives of nonlinear diffusion semigroups, Ukrainian Math. Journal, {\bf 53}, January 2001, N 1, p. 117-122.
6. A.Val.Antoniouk, A.Vict.Antoniouk, High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems, Nonlinear Boundary Problems, v.12, 2002, p. 3-12.
7. Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the regularity properties of diffusion semigroups, In "Nonlinear Analysis and Applications: To V.Lakshmikantham on his 80th birthday", in two volumes,
(Ravi P. Agarwal and Donal O'Regan Eds.), Kluwer, 2003, vol.1, p. 165-226.
8. A.Val.Antoniouk, A.Vict.Antoniouk, Nonlinear Calculus of variations for differential flows on manifolds: geometrically correct generalization of covariant and stochastic variations, Ukrainean Math. Bulletin, v.1, N 4,
2004,p. 449-484.
9. A.Val.Antoniouk, Towards upper bounds on general second order operators on metric function, Ukrainean Math. Bull., v.4, N 2, 2007, p. 163-172.
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10. A.Val.Antoniouk, Nonlinear Symmetries of Variational Calculus and Regularity Properties of Differential Flows on Non-Compact Manifolds, Proceedings of 5$^{th}$ Intern. Conf. "Symmetry in nonlinear mathematical physics", 2003, p. 1228-1235.
11. A.Val.Antoniouk, Nonlinear Estimates on Regularity of Differential Flows on Manifolds, Mathematical methods and physical-mechanical fields, 8 pp.
12. A.Val.Antoniouk, Regularity of nonlinear flows on manifolds: Nonlinear estimates on new type variations or why generalizations of classical covariant derivatives are required?, to appear in {\it Nonlinear Boundary problems}, 15
pp.
2. A.Val.Antoniouk, A.Vict.Antoniouk, S.Albeverio, J.G.Kondrativ, Dirichlet operators semigroups in some Gibbs lattice spin systems, Methods of Functional Analysis and topology v. 1, 1996, p. 1-32.
3. A.Val.Antoniouk, A.Vict.Antoniouk, Smoothing properties of semigroups for Dirichlet operators of Gibbs measures. Journal of Functional Analysis, v. 127, 1995, p. 390-430.
4. A.Val.Antoniouk, A.Vict.Antoniouk, How the unbounded drift shapes the Dirichlet semigroup behaviour of non-Gaussian Gibbs measures, Journal of Functional Analysis, v 135, 1996, p. 488-518.
5. A.Val.Antoniouk, A.Vict.Antoniouk, High order formulae for derivatives of nonlinear diffusion semigroups, Ukrainian Math. Journal, {\bf 53}, January 2001, N 1, p. 117-122.
6. A.Val.Antoniouk, A.Vict.Antoniouk, High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems, Nonlinear Boundary Problems, v.12, 2002, p. 3-12.
7. Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the regularity properties of diffusion semigroups, In "Nonlinear Analysis and Applications: To V.Lakshmikantham on his 80th birthday", in two volumes,
(Ravi P. Agarwal and Donal O'Regan Eds.), Kluwer, 2003, vol.1, p. 165-226.
8. A.Val.Antoniouk, A.Vict.Antoniouk, Nonlinear Calculus of variations for differential flows on manifolds: geometrically correct generalization of covariant and stochastic variations, Ukrainean Math. Bulletin, v.1, N 4,
2004,p. 449-484.
9. A.Val.Antoniouk, Towards upper bounds on general second order operators on metric function, Ukrainean Math. Bull., v.4, N 2, 2007, p. 163-172.
10. A.Val.Antoniouk, Nonlinear Symmetries of Variational Calculus and Regularity Properties of Differential Flows on Non-Compact Manifolds, Proceedings of 5$^{th}$ Intern. Conf. "Symmetry in nonlinear mathematical physics", 2003, p. 1228-1235.
11. A.Val.Antoniouk, Nonlinear Estimates on Regularity of Differential Flows on Manifolds, Mathematical methods and physical-mechanical fields, 8 pp.
12. A.Val.Antoniouk, Regularity of nonlinear flows on manifolds: Nonlinear estimates on new type variations or why generalizations of classical covariant derivatives are required?, to appear in {\it Nonlinear Boundary problems}, 15
pp.