An Estimate for a Fundamental Solution of a Parabolic Equation with Drift on a Riemannian Manifold |
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Authors: | Bernatska J. |
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Affiliation: | (1) Institute of Applied System Analysis, Kiev |
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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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Keywords: | fundamental solution Riemannian manifold Laplace– Beltrami operator vector field |
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