Abstract
本文研究了一类非线性退化双曲方程的初边值问题。借助Galerkin方法得到了解的整体存在性，与此同时，当初始能量为正且有界时，通过分析的方法可以证明解爆破。 In this paper, the initial-boundary value problem for a class of degenerate hyperbolic equation is studied. The global existence of solution is obtained by introducing Galerkin method. Also the global nonexistence of solution can be verified by using the analysis method while the initial energy is positive and bounded.
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