Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A HARNACK INEQUALITY FOR THE HEAT EQUATION ON A COMPACT RIEMANNIAN MANIFOLD WITH NON-CONVEX BOUNDARY

  • Chi, Dong-Pyo (DEPARTMENT OF MATHEMATICS, SEOUL NATIONAL UNIVERSITY) ;
  • Kim, Jin-Hong (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF CALIFORNIA)
  • Published : 1998.05.01
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Abstract

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 non-convex boundary.

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