The linear $C^0$-formulation of Strong Cosmic Censorship for asymptotically AdS black holes

Let $\boldsymbol{\psi}$ be a linear perturbation solving the wave equation on a subextremal asymptotically AdS black hole, with generic initial data and Dirichlet or more general boundary conditions imposed at infinity $\mathcal I$. Let $\mathcal{CH}$ denote the Cauchy horizon. Linear analog of the $C^0$-formulation of Strong Cosmic Censorship. For Reissner--Nordström--AdS or Kerr--AdS, the perturbation blows up in amplitude at the Cauchy horizon:

$$\lim_{x\to \mathcal{CH}}|\psi(x)|\to\infty.$$

This is a linear formulation of Strong Cosmic Censorship for asymptotically AdS black holes; the paper discusses it as a conjectural statement, with the Kerr--AdS case later refined by a conjecture asserting boundedness for Lebesgue-generic parameters.