Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold

  • J. N. Bernatskaya

Abstract

We construct a fundamental solution of a parabolic equation with drift on a Riemannian manifold of nonpositive curvature by the perturbation method on the basis of a solution of an equation without drift. We establish conditions for the drift field under which this method is applicable.
Published
25.02.2004
How to Cite
Bernatskaya, J. N. “Perturbation Method for a Parabolic Equation With Drift on a Riemannian Manifold”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 2, Feb. 2004, pp. 148-59, https://umj.imath.kiev.ua/index.php/umj/article/view/3739.
Section
Research articles