论文标题
在无效条件下，全球解决波和klein-gordon系统在尺寸二
Global solution to the wave and Klein-Gordon system under null condition in dimension two
论文作者
论文摘要
我们有兴趣在$ \ mathbb {r}^{2+1} $中研究具有null二次非线性的耦合波和klein-gordon方程。我们要建立小数据全局存在结果，此外，我们还展示了解决方案对耦合系统的渐近行为。初始数据不需要具有紧凑的支持，这是通过将Alinhac的幽灵重量方法应用于Wave和Klein-Gordon方程来实现的。
We are interested in studying the coupled wave and Klein-Gordon equations with null quadratic nonlinearities in $\mathbb{R}^{2+1}$. We want to establish the small data global existence result, and in addition, we also demonstrate the pointwise asymptotic behaviour of the solution to the coupled system. The initial data are not required to have compact support, and this is achieved by applying the Alinhac's ghost weight method to both the wave and the Klein-Gordon equations.
