Control for Schroedinger operators on tori
Analysis of PDEs
2011-06-08 v1 Systems and Control
Mathematical Physics
math.MP
Optimization and Control
Abstract
A well known result of Jaffard states that an arbitrary region on a torus controls, in the L2 sense, solutions of the free stationary and dynamical Schroedinger equations. In this note we show that the same result is valid in the presence of a smooth time-independent potential. The methods apply to continuous potentials as well and we conjecture that the L2 control is valid for any bounded time dependent potential.
Cite
@article{arxiv.1106.1412,
title = {Control for Schroedinger operators on tori},
author = {Nicolas Burq and Maciej Zworski},
journal= {arXiv preprint arXiv:1106.1412},
year = {2011}
}
Comments
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