In this paper, we study the linear wave equations in an asymptotically anti-de Sitter spacetime. We will consider the mixed boundary problem, where the initial data are given on an outgoing null hypersurface and a timelike hypersurface, and the asymptotic information is given on conformal infinity.

中文翻译：

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渐近反德西特时空线性波动方程的类零时边界问题

在本文中，我们研究了渐近反德西特时空中的线性波动方程。我们将考虑混合边界问题，其中初始数据在输出零超曲面和类时超曲面上给出，渐近信息在共形无穷大上给出。