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.
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Bernatskaya, Y.N. Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold. Ukrainian Mathematical Journal 56, 183–197 (2004). https://doi.org/10.1023/B:UKMA.0000036095.72970.58
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DOI: https://doi.org/10.1023/B:UKMA.0000036095.72970.58