On the heat flow of equation of surfaces of constant mean curvatures
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چکیده
We consider the initial and boundary value problem of heat flow of equation of surfaces of constant mean curvatures. 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 solutions to the heat flow that converges to zero in H exponentially as time goes to infinity.
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تاریخ انتشار 2010