Maximal estimates for Schrödinger equations with inverse-square potential

We consider maximal estimates for the solution to an initial value problem of the linear Schrödinger equation with a singular potential. We show a result about the pointwise convergence of solutions to this special variable coefficient Schrödinger equation with initial data u₀ ∈ H^s.(Rⁿ) for s > 1/2 or radial initial data u₀ ∈ H^s.(Rⁿ) for s ≥ 1/4 and that the solution does not converge when s < 1/4.