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• This paper tries to prove the uniqueness of weak solution to the initial-boundary problem of a pseudo-parabolic equation.

征明了个伪抛物方程初边值问题唯一性

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• Firstly, by use of the successive approximation method and a series of classical estimates, the local existence and uniqueness of weak solution are proved.

利用逐次逼近方法一系列经典估计证明了局部存在性惟一性

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• By using the weak maximum principle, the uniqueness and stability of the solution of water vapour equation with the first, second and third boundary-value problems were proven.

利用极大值原理证明了对于一类、第二类第三类边值问题水汽方程唯一性稳定性

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• By the methods of operator semigroup and apriori estimates, the existence and uniqueness of the global weak solution and the global strong solution for the system are obtained.

利用算子半群方法先验估计，证明问题整体和整体存在唯一性

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

另外，部分还研究了相应问题古典爆破准则。 关于唯一性古典解的整体存在尚未得到证明。

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• In this paper, we prove the existence and uniqueness of global weak solution of non Newton Filtration equation with a kind of nonlinear boundary condition.

本文讨论情况下一类牛顿流初值问题整体存在唯一性

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• Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.

应用上、下解方证明非线性退缩抛物型方程组初边问题存在唯一性

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• Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.

应用上、下解方证明非线性退缩抛物型方程组初边问题存在唯一性

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