global existence

基本解釋

Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究一類(lèi)強(qiáng)耦合擬線性退化拋物方程組初邊值問(wèn)題正古典解的局部存在、全局存在與非全局存在性。
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，在非自治擾動(dòng)下，利用迭合度理論討論了該方程組解的存在性，并得到了該方程組周期解全局存在的充分條件。
The local existence, the global existence and the uniqueness of a classical solution of this problem are proved.
文中證明了該問(wèn)題古典解的局部存在性、整體存在性和唯一性。

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整體存在
But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained.
關(guān)于弱解的唯一性和古典解的整體存在性尚未得到證明。
整體解
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.
第三部分討論Camassa—Holm方程中的臨界閥現(xiàn)象,即方程解爆破和整體解存在的臨界條件。
全局存在性