In this article we will develop some techniques aimed at the strong couplings in two-dimensional wave-Klein-Gordon system. We distinguish the roles of different type of decay factors and develop a method which permits us to “exchange” one type of decay into the other. Then a global existence result of a model problem is established. We also give a sketch of the Klein-Gordon-Zakharov model system and establish the associate global existence result.

中文翻译：

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二维空间中非线性波动Klein-Gordon系统的整体解：强耦合情况的原型

在本文中，我们将开发一些针对二维波-Klein-Gordon系统中的强耦合的技术。我们区分了不同类型的衰减因子的作用，并开发了一种允许我们将一种类型的衰减“交换”为另一种类型的方法。然后建立模型问题的整体存在结果。我们还给出了Klein-Gordon-Zakharov模型系统的草图，并建立了关联全局存在结果。