中文摘要：

借助于偏微分方程的一些标准技巧,对方程的非线性项进行估计,根据嵌入定理,利用周期边界取极限的方法,得到一类四阶偏微分方程整体解的存在唯一性.

英文摘要：

In this paper, we are concerned with the existence of the solutions to a class of partial differential equations of fourth - order. By applying some standard methods we estimate the non - linear terms. And we obtain the existence and uniqueness of the global gener- alized and classical solutions to the problem.