Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664322 | Acta Mathematica Scientia | 2011 | 8 Pages |
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 t22-nas time goes to infinity.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Tan Zhong, Wu Guochun,