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On minimal graph evolutions in the hyperbolic space

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Abstract

We study here minmal graph evolutions in the hyperbolic space and prove that there exists a unique smooth solution.

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References

  1. N J Korevaar. An easy proof of the interior gradient bound for solutions to the prescribed mean curvature equation. Proc Symp Pure Math, Part II, 1986, 45: 81–89

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  2. O Ladyzhenskaya, Solonnikov, N Ural’seva. Linear and Quasi-linear Equations of Parabolic Type. Providence, RI AMS, 1968

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Authors and Affiliations

  1. Department of Applied Mathematics, Tsinghua University, 100084, Beijing, P. R. China

    Li Ma

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  1. Li Ma
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This work is partially supported by NNSF of China

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Ma, L. On minimal graph evolutions in the hyperbolic space. Acta Mathematica Sinica 15, 371–374 (1999). https://doi.org/10.1007/BF02650731

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  • DOI: https://doi.org/10.1007/BF02650731

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