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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 3, Pages 493–512
(Mi smj1193)
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This article is cited in 2 scientific papers (total in 2 papers)
An estimate for a fundamental solution of a parabolic equation with drift on a Riemannian manifold
Yu. N. Bernatskaya National Technical University of Ukraine "Kiev Polytechnic Institute"
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.
Keywords:
fundamental solution, Riemannian manifold, Laplace–Beltrami operator, vector field.
Received: 21.10.2002
Citation:
Yu. N. Bernatskaya, “An estimate for a fundamental solution of a parabolic equation with drift on a Riemannian manifold”, Sibirsk. Mat. Zh., 44:3 (2003), 493–512; Siberian Math. J., 44:3 (2003), 387–404
Linking options:
https://www.mathnet.ru/eng/smj1193 https://www.mathnet.ru/eng/smj/v44/i3/p493
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Abstract page: | 375 | Full-text PDF : | 95 | References: | 58 |
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