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。
Fujian Nanquan is of historical value and exchange value with the harmony and with invisibleness, living state, uniqueness and acceptability and local cultural features and so on.
福建南拳既具有历史价值又具有和谐交流的价值（现代价值）和无形性、活态性、独特性、可接受性及地方文化特性等特征。
By means of lower-upper solutions methods, theory of fixed point indices and local bifurcation theory, the conditions for multiplicity and uniqueness positive solutions of this system was obtained.
运用上下解方法，不动点指数理论，局部分歧理论，得出了该系统存在多个正解或惟一正解的条件，即参数对解的个数有一定影响。
At first, we will prove the local existence and uniqueness of the solution, and establish two comparison lemmas.
我们先证明问题解的局部存在性和唯一性，并建立两个比较引理。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
我们将利用正则化方法和上下解技巧给出局部古典解和整体古典解的存在唯一性。
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。
Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
然后利用压缩映象原理方法，证明了方程局部广义解的存在唯一性；
In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.
本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
Mongolian subject film is one of the important components of China contemporary films, thus the uniqueness of Mongolian culture and art is bound to reflect the local minority subject films.
蒙古族题材电影是我国当代电影的一个重要组成部分，蒙古族文化艺术的独特性必然反映在本民族题材电影中。
It is born on the native land, takes in the local folk customs and has its uniqueness.
它立足于本土，适应本土民间民俗习惯，具有一定的独特性。
In this paper, we introduce the numerical flux of the LDG method (local discontinuous Galerkin method) and prove the existence and uniqueness of the LDG numerical solution.
本文采用局部间断有限元方法，给出其数值通量形式并证明了其数值解的存在唯一性。
In this paper, we introduce the numerical flux of the LDG method (local discontinuous Galerkin method) and prove the existence and uniqueness of the LDG numerical solution.
本文采用局部间断有限元方法，给出其数值通量形式并证明了其数值解的存在唯一性。
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