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.
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.