대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제35권2호
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- Pages.387-395
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
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)
- 발행 : 1998.05.01
초록
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.