This article is cited 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.

UDC: 517.9:514.7

Received: 21.10.2002

 English version: Siberian Mathematical Journal, 2003, 44:3, 387–404

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