Unique continuation for Δ+� and the C. Fefferman-Phong class Journal Articles

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