In this paper, we study the pointwise estimates of solutions to the viscous Cahn-Hilliard equation with the inertial term in multidimensions. We use Green’s function method. Our approach is based on a detailed analysis on the Green’s function of the linear system. And we get the solution’s convergence rate.

中文翻译：

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带有惯性项的粘性Cahn-Hilliard方程解的逐点估计

在本文中，我们研究带有多维惯性项的粘性Cahn-Hilliard方程解的逐点估计。我们使用格林的函数方法。我们的方法基于对线性系统的格林函数的详细分析。得出解决方案的收敛速度。