  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.
