Abstract
AbstractIn this note, an alternative approach to establish observability for semigroups based on their smoothing properties is presented. The results discussed here reproduce some of 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].
Funder
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Reference27 articles.
1. Adams, R.A., Fournier, J.J.F.: Sobolev Spaces. Academic Press, New York (2003)
2. Alphonse, P.: Null-controllability of evolution equations associated with fractional Shubin operators through quantitative Agmon estimates. arXiv:2012.04374 (2020)
3. Alphonse, P.: Quadratic differential equations: partial Gelfand-Shilov smoothing effect and null-controllability. J. Inst. Math. Jussieu 20(6), 1749–1801 (2021)
4. Beauchard, K., Jaming, P., Pravda-Starov, K.: Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations. Studia Math. 260(1), 1–43 (2021)
5. Beauchard, K., Pravda-Starov, K.: Null-controllability of hypoelliptic quadratic differential equations. J. Éc. Polytech. Math. 5, 1–43 (2018)
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