We consider the problem of real analytic parameter dependence of solutions of the linear partial differential equation P (D)u = f , i.e., the question if for every family (f λ) ⊆ D (Ω) of distributions depending in a real analytic way on λ ∈ U , U a real analytic manifold, there is a family of solutions (u λ) ⊆ D (Ω) also depending analytically on λ such that P (D)u λ = f λ for every λ ∈ U,