Unique Continuation Properties from one time for hyperbolic Schr\"odinger equations
Analysis of PDEs
2023-06-09 v1
Abstract
In this paper, we investigate properties of unique continuation for hyperbolic Schr\"odinger 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.
Cite
@article{arxiv.2306.05084,
title = {Unique Continuation Properties from one time for hyperbolic Schr\"odinger equations},
author = {Juan Antonio Barceló and Biagio Cassano and Luca Fanelli},
journal= {arXiv preprint arXiv:2306.05084},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2107.10782