2017
Том 69
№ 9

All Issues

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

Bernatskaya J. N.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 2, pp 183-197.

Citation Example: Bernatskaya J. N. Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold // Ukr. Mat. Zh. - 2004. - 56, № 2. - pp. 148-159.

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