A note on unique continuation for the Schrödinger equation

We show a unique continuation result for the differential inequality |i∂tu+Δu|⩽|Vu|, 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 . Also, we obtain some endpoint inhomogeneous Strichartz estimates for the Schrödinger equation.