global nonexistence

基本解釋

Two threshold results for global existence and nonexistence of solutions for semi-linear hyperbolic equations and parabolic equations;
給出一類非線性雙曲型方程初值問題解爆破的充分條件，并且證明問題局部廣義解的存在性和唯一性。
Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究一類強耦合擬線性退化拋物方程組初邊值問題正古典解的局部存在、全局存在與非全局存在性。
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.
本文運用正則化方法證明了一類退化拋物方程解的存在唯一性，討論了解的全局存在性與爆破，并在一定的初值條件下得到了解的爆破速率。