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ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 1998; 35(2): 387-395
Printed June 1, 1998
Copyright © The Korean Mathematical Society.
A Harnack inequality for the heat equation on a compact Riemannian manifold with non-convex boundary
Dong Pyo Chi and Jin Hong Kim
Seoul National University, University of California
In this article we prove a Harnack inequality for the positive solutions of the heat equation with Neumann boundary condition for a compact Riemannian manifold with possibly \emph{non-convex} boundary.
Keywords: Harnack inequality, heat equation, Laplacian
MSC numbers: Primary 58G11
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