  Recent work indicates that the strong cosmic censorship hypothesis is
violated by nearly extremal Reissner-Nordstrom-de Sitter black holes. It was
argued that perturbations of such a black hole decay sufficiently rapidly that
the perturbed spacetime can be extended across the Cauchy horizon as a weak
solution of the equations of motion. In this paper we consider the case of
Kerr-de Sitter black holes. We find that, for any non-extremal value of the
black hole parameters, there are quasinormal modes which decay sufficiently
slowly to ensure that strong cosmic censorship is respected. Our analysis
covers both scalar field and linearized gravitational perturbations.
