Morgan-type unique continuation properties for Schrodinger equations and applications

The Morgan-type uncertainty principle and unique continuation properties for abstract Schrodinger equations with time-dependent operator potentials are obtained in [Formula: see text]-valued function space. The equations contain abstract linear operators in abstract Hilbert spaces [Formula: see text]. So, we can obtain unique continuation properties for different classes of Schrodinger-type equations by choosing the space [Formula: see text] and linear operator function [Formula: see text], which occur in a wide variety of physical systems.