global nonexistence

基本解释

Two threshold results for global existence and nonexistence of solutions for semi-linear hyperbolic equations and parabolic equations;
给出一类非线性双曲型方程初值问题解爆破的充分条件，并且证明问题局部广义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 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。