A note on unique continuation for the Schrِdinger equation

We show a unique continuation result for the differential inequality | i ∂ t u + Δ u | ⩽ | V u | , where V is a time-dependent potential. Our results extend those in C.E. Kenig and C.D. Sogge (1988) [7] to include potentials contained in mixed norm spaces L t p L x s . Also, we obtain some endpoint inhomogeneous Strichartz estimates for the Schrödinger equation.