Cover Image

Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold

We construct a fundamental solution of a parabolic equation with drift on a Riemannian manifold of nonpositive curvature by the perturbation method on the basis of a solution of an equation without drift. We establish conditions for the drift field under which this method is applicable.

Saved in:

Bibliographic Details
Date:	2004
Main Authors:	Bernatskaya, J. N., Бернацкая, Ю. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3739
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Perturbed Parabolic Equation on a Riemannian Manifold
by: Bondarenko, V. G., et al.
Published: (2003)

On the behavior of a simple-layer potential for a parabolic equation on a Riemannian manifold
by: Bernatskaya, J. N., et al.
Published: (2008)

Parametrix method for a parabolic equation on a Riemannian manifold
by: Bondarenko, V. G., et al.
Published: (1999)

Behavior of the Double-Layer Potential for a Parabolic Equation on a Manifold
by: Bernatskaya, J. N., et al.
Published: (2003)

Separability in Riemannian Manifolds
by: Benenti, S.
Published: (2016)

Theorem on the central manifold of a nonlinear parabolic equation
by: Belan, E. P., et al.
Published: (1996)

Laplacian with respect to the measure on a Riemannian manifold and the Dirichlet problem. II
by: Bogdanskii, Yu. V., et al.
Published: (2016)

Laplacian with respect to measure on a Riemannian manifold and Dirichlet problem. I
by: Bogdanskii, Yu. V., et al.
Published: (2016)

On prime ends on Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2018)

Klein-Gordon Equation as a Result of Wave Equation Averaging on the Riemannian Manifold of Complex Microstructure
by: Khrabustovskyi, A.V.
Published: (2007)

Averaging method in the problem of optimal control for a perturbed parabolic equation
by: O. V. Kapustian, et al.
Published: (2022)

Averaging method in the problem of optimal control for a perturbed parabolic equation
by: Kapustyan , O. V., et al.
Published: (2022)

Construction of a Fundamental Solution of a Perturbed Parabolic Equation
by: Bondarenko, V. G., et al.
Published: (2003)

Метод возмущений для параболического уравнения со сносом на римановом многообразии
by: Бернацкая, Ю.Н.
Published: (2004)

Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds
by: Chanu, C., et al.
Published: (2007)

On a connection between some classes of mapping on Riemannian manifolds
by: O. Afanaseva, et al.
Published: (2020)

Compact Riemannian Manifolds with Homogeneous Geodesics
by: Alekseevsky, D.V., et al.
Published: (2009)

Quasisymmetric mappings and their generalizations on Riemannian manifolds
by: E. S. Afanas'eva, et al.
Published: (2021)

Central manifolds of quasilinear parabolic equations
by: Belan, E. P., et al.
Published: (1998)

Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds
by: Daletskii, A. Yu., et al.
Published: (1997)

On the Relation between Curvature, Diameter, and Volume of a Complete Riemannian Manifold
by: Si Duc Quang, et al.
Published: (2004)

On the Relation between Curvature, Diameter, and Volume of a Complete Riemannian Manifold
by: Nguyen, Doan Tuan, et al.
Published: (2004)

Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold
by: Yampolsky, A.
Published: (2005)

Laplacian with respect to measure on a Riemannian manifold and Dirichlet problem. I
by: Ju. V. Bogdanskij, et al.
Published: (2016)

Laplacian with respect to the measure on a Riemannian manifold and the Dirichlet problem. II
by: Ju. V. Bogdanskij, et al.
Published: (2016)

Расширение Европейского Союза: структурные изменения расходов единого бюджета
by: Бернацкая, А.
Published: (2005)

On equicontinuity of families of inverse mappings of Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2019)

Boundary behavior of ring Q-homeomorphisms on Riemannian manifolds
by: Afanas'eva, E. S., et al.
Published: (2011)

Moduli and extremal metrics on nonorientable and twisted Riemannian manifolds
by: Tamrazov, P. M., et al.
Published: (1998)

Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds
by: Albeverio, S., et al.
Published: (1997)

Quasiperiodic Extremals of Nonautonomous Lagrangian Systems on Riemannian Manifolds
by: I. O. Parasiuk
Published: (2014)

On local properties of one class of mappings on Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2015)

On fundamental group of Riemannian manifolds with ommited fractal subsets
by: Mirzaie, R.
Published: (2011)

Quasiperiodic Extremals of Nonautonomous Lagrangian Systems on Riemannian Manifolds
by: Parasyuk, I. O., et al.
Published: (2014)

On fundamental group of Riemannian manifolds with ommited fractal subsets
by: Mirzaie, R., et al.
Published: (2011)

On the local behavior of Sobolev classes on two-dimensional Riemannian manifolds
by: Sevost'yanov, E. A., et al.
Published: (2019)

On some periodic solutions of singularly perturbed parabolic equations
by: Vasilyeva, A. B., et al.
Published: (2007)

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

Removable singularities of mappings with inverse Poletsky inequality on Riemannian manifolds
by: V. Desyatka, et al.
Published: (2024)

On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds
by: Matveev, V.S.
Published: (2012)