This paper tries to prove the uniqueness of weak solution to the initial-boundary problem of a pseudo-parabolic equation.
征明了一个伪抛物型方程初边值问题弱解的唯一性。
Firstly, by use of the successive approximation method and a series of classical estimates, the local existence and uniqueness of weak solution are proved.
利用逐次逼近方法和一系列经典的估计，证明了弱解的局部存在性和惟一性。
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.
利用该弱极大值原理，证明了对于第一类、第二类和第三类边值问题，水汽方程解的唯一性和稳定性。
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.
利用算子半群方法和先验估计，证明了该问题整体弱解和整体强解的存在唯一性。
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。
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、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
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.
本文讨论了在一维情况下一类非牛顿流初边值问题整体解的存在唯一性。
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.
本文讨论了在一维情况下一类非牛顿流初边值问题整体解的存在唯一性。
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