Abstract
We construct a fundamental solution for a parabolic equation with drift on a Riemannian manifold of nonpositive curvature. We obtain some estimates for this fundamental solution that depend on the conditions on the drift field.
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Bernatska, J. An Estimate for a Fundamental Solution of a Parabolic Equation with Drift on a Riemannian Manifold. Siberian Mathematical Journal 44, 387–404 (2003). https://doi.org/10.1023/A:1023800411968
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DOI: https://doi.org/10.1023/A:1023800411968