Buchumschlag

Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations

We consider flows, generated by nonlinear differential equations on manifold that could also contain random terms and correspond to the second order parabolic equations. We demonstrate that the rigorous statement of the regularity problems for differential flows on noncompact manifolds requires the...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Український математичний вісник
Datum:	2004
Hauptverfasser:	Antoniouk, A.Val, Antoniouk, A.Vict.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Інститут прикладної математики і механіки НАН України 2004
Online Zugang:	https://nasplib.isofts.kiev.ua/handle/123456789/124626
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:	Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations / A.Val. Antoniouk, A.Vict. Antoniouk // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 449-484. — Бібліогр.: 23 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Ähnliche Einträge

Regularity of nonlinear flows on manifolds: nonlinear estimates on new type variation or why generalizations of classical covariant derivatives are required?
von: Antoniouk, A.Val.
Veröffentlicht: (2005)

High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems
von: Antoniouk, A.Val., et al.
Veröffentlicht: (2002)

Continuity with respect to initial data and absolute-continuity approach to the first-order regularity of nonlinear diffusions on noncompact manifolds
von: Antoniouk, A.Val., et al.
Veröffentlicht: (2008)

Regularity of nonlinear flows on noncompact Riemannian manifolds: Differential geometry versus stochastic geometry or what kind of variations is natural?
von: Antoniouk, A. Val., et al.
Veröffentlicht: (2006)

Nonlinear-estimate approach to the regularity of infinite-dimensional parabolic problems
von: Antoniouk, A.Val., et al.
Veröffentlicht: (2006)

Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems
von: Antoniouk, A.Val., et al.
Veröffentlicht: (2006)

Nonsingular smoothing representations for differential flows on manifolds
von: Antoniouk, A.Vict.
Veröffentlicht: (2005)

Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups
von: Antoniouk, A.Val., et al.
Veröffentlicht: (2006)

Regularity of infinite dimensional heat dynamics of unbounded lattice spins with non-constant diffusion coefficients
von: Antoniouk, A.Val., et al.
Veröffentlicht: (2007)

C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds
von: Antoniouk, A.Val.
Veröffentlicht: (2008)

Nonexplosion and solvability of nonlinear diffusion equations on noncompact manifolds
von: Antoniouk, A. Val., et al.
Veröffentlicht: (2007)

Continuity with respect to initial data and absolute-continuity approach to the first-order regularity of nonlinear diffusions on noncompact manifolds
von: Antoniouk, A. Val., et al.
Veröffentlicht: (2008)

Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities
von: Pavlenko , V. N., et al.
Veröffentlicht: (2025)

Higher-Order Relations for Derivatives of Nonlinear Diffusion Semigroups
von: Antoniouk, A. Vict., et al.
Veröffentlicht: (2001)

Problems of the variational calculus with movable ends and higher-order derivatives
von: M. A. Elishevich
Veröffentlicht: (2016)

Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations
von: Constantinescu, O.
Veröffentlicht: (2012)

Nonlinear-estimate approach to the regularity of infinite-dimensional parabolic problems
von: Antoniouk, A. Val., et al.
Veröffentlicht: (2006)

Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds
von: Antoniouk, A. Vict., et al.
Veröffentlicht: (1995)

Classification calculus. The classification correctness
von: G. A. Kravtsov, et al.
Veröffentlicht: (2017)

On the correct statement of free-phase variational problems
von: Yu. P. Topoliuk
Veröffentlicht: (2018)

Geometric and variational model order reduction methods. Comparative analysis
von: V. F. Gubarev, et al.
Veröffentlicht: (2018)

Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature
von: Bondarenko, V. G., et al.
Veröffentlicht: (1998)

The Bateman–Luke variational formalism in a sloshing with rotational flows
von: Timokha, A.N.
Veröffentlicht: (2016)

Variational Principles and Canonical Variables for MHD Flows with Breaks. I
von: Kats, A. V.
Veröffentlicht: (2013)

The Bateman–Luke variational formalism in a sloshing with rotational flows
von: A. N. Timokha
Veröffentlicht: (2016)

Admissible extremals in problems of variational calculus with constraints in the form of the system of linear inhomogeneous differential equations of first order with rectangular matrices
von: M. A. Elishevich
Veröffentlicht: (2019)

A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
von: Paneitz, S.M.
Veröffentlicht: (2008)

Hyperbolic Variational Inequality of the Third Order with Variable Exponent of Nonlinearity
von: O. T. Kholiavka
Veröffentlicht: (2014)

Hyperbolic Variational Inequality of the Third Order with Variable Exponent of Nonlinearity
von: Kholyavka, O. T., et al.
Veröffentlicht: (2014)

Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth
von: Pavlenko, V. N., et al.
Veröffentlicht: (2011)

On certain nonlinear pseudoparabolic variational inequalities without initial conditions
von: Lavrenyuk, S. P., et al.
Veröffentlicht: (1999)

Higgs Bundles and Geometric Structures on Manifolds
von: Alessandrini, D.
Veröffentlicht: (2019)

Experimental research of thermal variations at sudden expansion of supersonic steam flow
von: Скляров, В. П., et al.
Veröffentlicht: (2017)

Experimental research of thermal variations at sudden expansion of supersonic steam flow
von: Скляров, В. П., et al.
Veröffentlicht: (2017)

Experimental research of thermal variations at sudden expansion of supersonic steam flow
von: V. P. Skljarov, et al.
Veröffentlicht: (2010)

Stochastic Navier–Stokes variational inequalities with unilateral boundary conditions: probabilistic weak solvability
von: M. Sango
Veröffentlicht: (2023)

Stochastic Navier–Stokes variational inequalities with unilateral boundary conditions: probabilistic weak solvability
von: Sango, M., et al.
Veröffentlicht: (2023)

The Bateman–Luke variational formalism for sloshing of an ideal incompressible liquid with rotational flows
von: A. N. Timokha
Veröffentlicht: (2015)

SAR Processing Algorithm with Built-In Geometric Correction
von: Bezvesilniy, O.O., et al.
Veröffentlicht: (2011)

Variations in folklore and literature
von: I. M. Zvarych
Veröffentlicht: (1993)