If the weak solution can be proved to be unique, it is called the generalized solution.
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2. 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.
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3. “最优”的弱解是在测试空间和试验空间重合时得出的。
The "optimum" weak form is the one for which the trial and test Spaces coincide.
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4. 得到了一类二阶散度型椭圆方程很弱解的一个正则性结果。
A regularity result of a class of second order divergence form elliptic equation was obtained.
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5. 研究带雪崩项的半导体漂移-扩散模型方程弱解的惟一性问题。
The uniqueness problem of the weak solutions of the time dependent drift diffusion model for semiconductor equation with avalanche term is considered.
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6. 考虑具有可控增长条件的非线性椭圆方程组弱解的部分正则性。
In this paper, we consider the nonlinear elliptic systems under the controllable growth condition.
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7. 通过研究截断问题的弱解，我们证明了原问题存在一列非平凡的小解。
By investigating the truncated problem, we could prove that the original problem admits a sequence of small solutions.
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8. 但他们的脆弱解释却是在世界事务中主权是一个过时的甚至是危险的概念。
But their brittle interpretation of sovereignty is an old-fashioned, and even dangerous, notion in world affairs.
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9. 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。
Firstly, by use of the successive approximation method and a series of classical estimates, the local existence and uniqueness of weak solution are proved.
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10. 研究了一维线性标量守恒律初边值问题的弱解，分析了有限元方法的收敛性。
In this paper, a finite element method for linear scalar conservation laws is analyzed.
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11. 利用定理1．2介绍过的方法，我们用粘性消去的方法证明了其弱解的存在性。
Using the method that will be introduced in Theorem 1.2, we prove the existence of weak solutions.
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12. 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.
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13. 讨论了一类具有奇异性的椭圆问题解的存在性。证明了在一定条件下，弱解存在。
This paper discusses the existence of a class of singular elliptic boundary value problems. Under certain conditions, we prove that weak solutions exist.
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14. 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.
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15. 研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。
The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
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16. 如果将柔弱解释为软弱、衰老，则他也只属于跃起之后的衰落阶段，也无所谓胜与不胜。
If the soft is weakness and senility, it just is in comedown after leaping. There is no win or lose.
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17. 在该系统非负弱解存在的基础上，利用常微分方程理论，进一步讨论该系统解的半稳定性。
On the premise that the system there exists non-negative weak solution, the paper further discusses the semi-stability of the system solution using the theory of ordinary differential equations.
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18. 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.
Then the natural question is how to estimate the difference of the weak solutions to the systems describing different models, especially to estimate the weak solutions with shock waves.
The problem involves non-odd symmetric critical nonlinearity. Existence of infinitely many solutions of this problem is obtained with improved Compactness- Concentration principle.
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.
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.
