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On the behavior of a simple-layer potential for a parabolic equation on a Riemannian manifold

On a Riemannian manifold of nonpositive sectional curvature (Cartan-Hadamard-type manifold), we consider a parabolic equation. The second boundary-value problem for this equation is set in a bounded domain whose surface is a smooth submanifold. We prove that the gradient of the simple-layer potentia...

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Bibliographic Details
Date:	2008
Main Authors:	Bernatskaya, J. N., Бернацька, Ю. Н.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3206
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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