  We study the behavior of the quasinormal modes (QNMs) of massless and massive
linear waves on Schwarzschild-de Sitter black holes as the black hole mass
tends to 0. Via uniform estimates for a degenerating family of ODEs, we show
that in bounded subsets of the complex plane and for fixed angular momenta, the
QNMs converge to those of the static model of de Sitter space. Detailed
numerics illustrate our results and suggest a number of open problems.
