论文标题
在抗DE保姆时空中的半线性波方程式：关键情况
On a semilinear wave equation in anti-de Sitter spacetime: the critical case
论文作者
论文摘要
在本文中，我们证明了在有限的时间内，在关键情况下，在抗DE保姆时空中与波动方程相关的半线性库奇问题的局部解决方案。根据此目的，我们通过使用一个明确的积分表示公式将ODI结果与迭代参数结合在一起，以解决与一个空间维度中抗DE安静的时空相关的线性cauchy问题的解决方案。
In the present paper we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the critical case. According to this purpose, we combine an ODI result with an iteration argument, by using an explicit integral representation formula for the solution to a linear Cauchy problem associated with the wave equation in anti-de Sitter spacetime in one space dimension.
