论文标题
无效状况的全球存在和尖锐的衰减
Global existence and pointwise decay for the null condition
论文作者
论文摘要
我们研究了非线性条件的非线性波方程,并且在非组织空间上进行了少量初始数据。假设线性方程的溶液满足局部能量边界,我们证明了溶液的全球存在,并获得了尖锐的界限。
We study the nonlinear wave equation with the null condition and small initial data on nonstationary spacetimes. Under the assumption that the solution to the linear equation satisfies local energy bounds, we prove global existence of solutions, and obtain sharp pointwise bounds.