Quantitative strong unique continuation property for the Schrödinger operator with unbounded potential

Abstract: We revisit \cite[Theorem 6.3]{JK}. Following the main ideas used to prove this theorem, we establish a quantitative version of the strong unique continuation property for the Sch\"odinger operator with unbounded potential. We also show that a combination of this result with a global quantitative unique continuation property from an arbitrary interior data yields a global quantitative strong unique continuation.