global existence

基本解释

Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
In the non-autonomous perturbation case, some sufficient conditions for the global existence of periodic solutions of this system are obtained by using the theorem of coincidence degree.
然后，在非自治扰动下，利用迭合度理论讨论了该方程组解的存在性，并得到了该方程组周期解全局存在的充分条件。
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。

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整体存在
But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained.
关于弱解的唯一性和古典解的整体存在性尚未得到证明。
整体解
The third section,we study the critical threshold phenomenon in Camassa-Holm Equation,that is the critical condition for the breakdown of the solutions as well as the global existence of the solutions.
第三部分讨论Camassa—Holm方程中的临界阀现象,即方程解爆破和整体解存在的临界条件。
全局存在性