• 제목/요약/키워드: heat flow of p-harmonic map

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HÖLDER CONVERGENCE OF THE WEAK SOLUTION TO AN EVOLUTION EQUATION OF p-GINZBURG-LANDAU TYPE

  • Lei, Yutian
    • 대한수학회지
    • /
    • 제44권3호
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    • pp.585-603
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    • 2007

  • The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

  • https://doi.org/10.4134/JKMS.2007.44.3.585 인용 PDF KSCI