Unique Continuation Properties from one time for hyperbolic Schrödinger equations
arXiv:2306.05084
Abstract
In this paper, we investigate properties of unique continuation for hyperbolic Schrödinger equations with time-dependent complex-valued electric fields and time-independent real magnetic fields. We show that positive masses inside of a bounded region at a single time propagate outside the region and prove gaussian lower bounds for the solutions, provided a suitable average in space-time cylinders is taken.
arXiv admin note: substantial text overlap with arXiv:2107.10782