Антонюк Олександр Валерійович
Публікації
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, 4-11 p.
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, 1-32 p.
3. A.Val.Antoniouk, A.Vict.Antoniouk, Smoothing properties of
semigroups for Dirichlet operators of Gibbs measures. Journal of
Functional Analysis, v 127, 1995, 390-430 p.
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, 488-518
p.
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, 117-122 pp.
6. A.Val.Antoniouk, A.Vict.Antoniouk, High order symmetries of
variations and nonlinear quasi-contractive estimates approach to
the parabolic regularity problems, {\it Nonlinear Boundary
Problems}, v.12, 2002, pp. 3-12.
7. Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates
approach to the regularity properties of diffusion semigroups,
In "{\it Nonlinear Analysis and Applications: To
V.Lakshmikantham on his 80th birthday}", in two volumes, Eds.
Ravi P. Agarwal and Donal O'Regan, Kluwer, 2003, vol.1, 165-226
pp.
8. A.Val.Antoniouk, A.Vict.Antoniouk, Nonlinear Calculus of
variations for differential flows on manifolds: geometrically
correct generalization of covariant and stochastic variations,
{\it Ukrainean Math. Bulletin}, {\bf v.1}, N 4,
2004, 449-484 pp.
9. A.Val.Antoniouk, Towards upper bounds on general second order
operators on metric function, to appear in {\it Ukrainean Math.
Bulletin}, {\bf v.4}, 2004, 8 pp.
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, 1228-1235
pp.
11. A.Val.Antoniouk, Nonlinear Estimates on Regularity of
Differential Flows on Manifolds, to appear in {\it 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.
self-adjointness of Dirichlet operators of Gibbs measures on the
infinite product of manifolds, Ukrainian Math. Journal, v. 47, N
1, 1995, 4-11 p.
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, 1-32 p.
3. A.Val.Antoniouk, A.Vict.Antoniouk, Smoothing properties of
semigroups for Dirichlet operators of Gibbs measures. Journal of
Functional Analysis, v 127, 1995, 390-430 p.
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, 488-518
p.
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, 117-122 pp.
6. A.Val.Antoniouk, A.Vict.Antoniouk, High order symmetries of
variations and nonlinear quasi-contractive estimates approach to
the parabolic regularity problems, {\it Nonlinear Boundary
Problems}, v.12, 2002, pp. 3-12.
7. Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates
approach to the regularity properties of diffusion semigroups,
In "{\it Nonlinear Analysis and Applications: To
V.Lakshmikantham on his 80th birthday}", in two volumes, Eds.
Ravi P. Agarwal and Donal O'Regan, Kluwer, 2003, vol.1, 165-226
pp.
8. A.Val.Antoniouk, A.Vict.Antoniouk, Nonlinear Calculus of
variations for differential flows on manifolds: geometrically
correct generalization of covariant and stochastic variations,
{\it Ukrainean Math. Bulletin}, {\bf v.1}, N 4,
2004, 449-484 pp.
9. A.Val.Antoniouk, Towards upper bounds on general second order
operators on metric function, to appear in {\it Ukrainean Math.
Bulletin}, {\bf v.4}, 2004, 8 pp.
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, 1228-1235
pp.
11. A.Val.Antoniouk, Nonlinear Estimates on Regularity of
Differential Flows on Manifolds, to appear in {\it 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.