It is conjectured that the solution to the Schrodinger equation in R n+1 converges almost everywhere to its initial datum f, for all f ∈ H s (R n ), if and only if s ≥ 1 4. It is known that there is an s < 1 2 for which the solution converges for all f ∈ H s (R 2 ). We show that the solution to the nonelliptic Schrodinger equation, i∂ t u + (∂ 2 x - ∂ 2 y )u = 0, converges to its initial datum f, for all f ∈ H s (R 2 ), if and only if s ≥ 1 2. Thus the pointwise behaviour is worse than that of the standard Schrodinger equation. In higher dimensions, we have similar results with the loss of the endpoint.