An application to Kato's square root problem
Summary: We find all complex potentials \(Q\) such that the general Schrödinger operator on \(\mathbb{R}^n\), given by \(L = - \Delta + Q\), where \(\Delta\) is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where \(Q \in L_{\text{loc}}^1(\Omega)\).
scientific article; zbMATH DE number 1780330