On the heat flow equation of surfaces of constant mean curvature in higher dimensions |
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Authors: | Tan Zhong Wu Guochun |
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Institution: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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Abstract: | In this paper, we consider the heat flow for the H-system with constant mean curvature in higher dimensions. We give sufficient conditions on the initial data such that the heat flow develops finite time singularity. We also provide a new set of initial data to guarantee the existence of global regular solution to the heat flow, that converges to zero in W1,n with the decay rate
as time goes to infinity. |
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Keywords: | heat equation mean curvature higher dimensions |
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