征明了一个伪抛物型方程初边值问题弱解的唯一性。
This paper tries to prove the uniqueness of weak solution to the initial-boundary problem of a pseudo-parabolic equation.
本文讨论二维奇异非稳态问题的有限元方法，证明了弱解的存在唯一性，并给出有限元解的加权L2-模估计。
The existence and uniqueness of the solution to these problems with the use of FEM are proved and optimal error estimates in weighted L2-norm are given.
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。
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.
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。
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.
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。
But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained.
其次我们得到一类带有非线性扩散项的MBSC B方程组在二维有界区域上弱解的存在唯一性。
Then the existence and uniqueness of weak solutions for a BSCB System with nonlinear diffusion term are established on 2-d bounded domains.
其次我们得到一类带有非线性扩散项的MBSC B方程组在二维有界区域上弱解的存在唯一性。
Then the existence and uniqueness of weak solutions for a BSCB System with nonlinear diffusion term are established on 2-d bounded domains.
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