In this paper, we considered a class of fourth order equation modeling epitaxial thin film growth. We establish a blow up result for the initial and boundary value problem. Furthermore, the lower bound of the blow up time and the blow up rate are derived.

中文翻译：

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爆破时间的下界到模拟外延薄膜生长的四阶抛物线方程

在本文中，我们考虑了一类用于外延薄膜生长的四阶方程。我们建立了初始值和边值问题的爆炸结果。此外，得出爆破时间和爆破率的下限。