Mathematical Proceedings of the Cambridge Philosophical Society

We consider Carleson's problem regarding pointwise convergence for the Schrodinger equation. Bourgain proved that there is initial data, in H-s ( R-n) with s < n/2(n+1), for which the solution diverges on a set of nonzero Lebesgue measure. We provide a different example enabling the generalisation to fractional Hausdorff measure.