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

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。

youdao

The existence of a global classical solution is proved.

我们证明了该问题存在古典整体解。

youdao

But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained.

另外，本部分还研究了相应问题古典解的爆破准则。 关于弱解的唯一性和古典解的整体存在性尚未得到证明。

youdao