Hardy type unique continuation properties for abstract Schr?dinger equations and applications

摘要

In this paper, Hardy's uncertainty principle and unique continuation properties of Schr?dinger equations with operator potentials in Hilbert space-valued L2L2 classes are obtained. Since the Hilbert space HH and linear operators are arbitrary, by choosing the appropriate spaces and operators we obtain numerous classes of Schr?dinger type equations and its finite and infinite many systems which occur in a wide variety of physical systems.