Abstract
For a parabolic equation with drift on a Riemannian manifold of positive curvature we obtain a representation for the logarithmic gradient in the form of the sum of two vector fields one of which is known and the other is bounded. The drift field is assumed to be of sufficiently rapid decay at infinity.
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Bernatska, J. The Logarithmic Gradient of the Kernel of the Heat Equation with Drift on a Riemannian Manifold. Siberian Mathematical Journal 45, 11–18 (2004). https://doi.org/10.1023/B:SIMJ.0000013010.71915.85
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DOI: https://doi.org/10.1023/B:SIMJ.0000013010.71915.85