Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 3
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- Pages.533-545
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
ON THE EXISTENCE OF SOLUTIONS OF THE HEAT EQUATION FOR HARMONIC MAP
-
Chi, Dong-Pyo
(DEPARTMENT OF MATHEMATICS, SEOUL NATIONAL UNIVERSITY)
;
- Kim, Hyun-Jung (DEPARTMENT OF MATHEMATICS, HOSEO UNIVERSITY) ;
- Kim, Won-Kuk (DEPARTMENT OF MATHEMATICS, SUNY AT STONY BROOK)
- Published : 1998.08.01
Abstract
In this paper, we prove the existence of solutions of the heat equation for harmonic map on a compact manifold with a boundary when the target manifold is allowed to have positively curved parts.