Let Ω be a bounded domain of R , and Q = Ω× (0, T ). We first study the problem ut −∆pu = μ in Q, u = 0 on ∂Ω× (0, T ), u(0) = u0 in Ω, where p > 1, μ ∈ Mb(Ω) and u0 ∈ L(Ω). Our main result is a stability theorem extending the results of Dal Maso, Murat, Orsina, Prignet, for the elliptic case. As an application, we consider the perturbed problem… (More)