CHNN的设计应保证，无论从何种初值出发，网络总能通过运行收敛到一个稳定状态，它相应于能量函数的某个局部极小点。
The design of CHNN should ensure that the networks always converge to a steady sate corresponding to a local minimum point of energy function by running in spite of starting from any initial values.
证明方法是基于能量估计和尺规变换，并选择适当的初值。
The method in provement is based on energy estimate, scaling transform, and selection of initial values.
我们将运用能量方法以及一个迭代引理证明在紧初值的情况下自由边界的整体存在性，并且给出自由边界的估计。
Applying energy methods and a iteration lemma convergence of sequences of Numbers, we will prove the global existence of free boundaries and give some estimates to them.
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