Unique continuation for Δ + v \Delta +v and the C. Fefferman-Phong class

We show that the strong unique continuation property holds for the inequality $\left|\mathrm{\Delta }u\right|\le \left|\upsilon \right|\left|u\right|$ , where the potential $\upsilon (x)$ satisfies the C. Fefferman-Phong condition in a certain range of $p$ values. We also deal with the situation of $u(x)$ vanishing at infinity. These are all consequences of appropriate Carleman inequalities.