解的整体存在性。

The existence of global smooth solution.

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文中证明了该问题古典解的局部存在性、整体存在性和唯一性。

The local existence, the global existence and the uniqueness of a classical solution of this problem are proved.

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在适当的假设条件下，得到了正解的整体存在性与有限时刻爆破的结论。

Under appropriate hypotheses, the global existence and finite time blow-up of positive solutions are obtained.

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