Mass Propagation for Electromagnetic Schr\"odinger Evolutions
Analysis of PDEs
2021-07-23 v1
Abstract
We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schr\"odinger equation with a bounded time-dependent complex electric potential and a time-independent vector magnetic potential. We prove that, if a suitable geometric condition is satisfied by the vector potential, then positive masses inside of a bounded region at a single time propagate outside the region, provided a suitable average in space-time cylinders is taken.
Cite
@article{arxiv.2107.10782,
title = {Mass Propagation for Electromagnetic Schr\"odinger Evolutions},
author = {Juan Antonio Barceló and Biagio Cassano and Luca Fanelli},
journal= {arXiv preprint arXiv:2107.10782},
year = {2021}
}