论文标题
DE Sitter和Anti-DE STANTER的半线性波方程的爆炸结果注释
A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes
论文作者
论文摘要
在这项工作中，我们为De Sitter和Anti-De Sitter SpaceTime的半线性波方程提供了一些爆炸结果。通过在非线性期限内需要适当的条件对时间依赖性因素，我们证明了在时间溶液中局部平均的有限时间内进行爆炸。特别是，我们通过将合适的切片程序与该时间依赖性功能的迭代框架相结合，从而得出了空间平均值的下限估计序列。
In this work we derive some blow-up results for semilinear wave equations both in de Sitter and anti-de Sitter spacetimes. By requiring suitable conditions on a time-dependent factor in the nonlinear term, we prove the blow-up in finite time of the spatial averages of local in time solutions. In particular, we derive a sequence of lower bound estimates for the spatial average by combining a suitable slicing procedure with an iteration frame for this time-dependent functional.
