한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제18권1호
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  • Pages.79-86
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  • 2011
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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AN ENERGY DENSITY ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP

  • 투고 : 2010.10.15
  • 심사 : 2011.02.17
  • 발행 : 2011.02.28
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초록

Suppose that (M,g) is a complete and noncompact Riemannian mani-fold with Ricci curvature bounded below by $-K{\leq}0$ and (N, $\bar{g}$) is a complete Riemannian manifold with nonpositive sectional curvature. Let u : $M{\times}[0,{\infty}){\rightarrow}N$ be the solution of a heat equation for harmonic map with a bounded image. We estimate the energy density of u.

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참고문헌

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