Exact observability properties of subelliptic wave and Schr{\"o}dinger equations
Analysis of PDEs
2021-10-14 v2 Optimization and Control
Spectral Theory
Abstract
In this survey paper, we report on recent works concerning exact observability (and, by duality, exact controllability) properties of subelliptic wave and Schr{\"o}dinger-type equations. These results illustrate the slowdown of propagation in directions transverse to the horizontal distribution. The proofs combine sub-Riemannian geometry, semi-classical analysis, spectral theory and non-commutative harmonic analysis.
Keywords
Cite
@article{arxiv.2101.05489,
title = {Exact observability properties of subelliptic wave and Schr{\"o}dinger equations},
author = {Cyril Letrouit},
journal= {arXiv preprint arXiv:2101.05489},
year = {2021}
}