Uncertainty principles with error term in Gelfand-Shilov spaces
Optimization and Control
2022-10-19 v2 Analysis of PDEs
Abstract
In this note, an alternative approach to establish observability for semigroups based on their smoothing properties is presented. The results discussed here are closely related to those recently obtained in [arXiv:2112.01788], but the current proof allows to get rid of several technical assumptions by following the standard complex analytic approach established by Kovrijkine combined with an idea from [arXiv:2201.02370].
Keywords
Cite
@article{arxiv.2201.09781,
title = {Uncertainty principles with error term in Gelfand-Shilov spaces},
author = {Alexander Dicke and Albrecht Seelmann},
journal= {arXiv preprint arXiv:2201.09781},
year = {2022}
}
Comments
10 pages; improved constant by using different asymptotics