| Issue |
ESAIM: COCV
Volume 27, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|
|
|---|---|---|
| Article Number | S21 | |
| Number of page(s) | 41 | |
| DOI | https://doi.org/10.1051/cocv/2020066 | |
| Published online | 01 March 2021 | |
Cost for a controlled linear KdV equation
Bâtiment des Mathématiques, EPFL,
Station 8,
1015
Lausanne, Switzerland.
* Corresponding author: joachim.krieger@epfl.ch; shengquan.xiang@epfl.ch.
Received:
22
November
2019
Accepted:
3
October
2020
The controllability of the linearized KdV equation with right Neumann control is studied in the pioneering work of Rosier [L. Rosier, ESAIM: COCV 2 (1997) 33-55.]. However, the proof is by contradiction arguments and the value of the observability constant remains unknown, though rich mathematical theories are built on this totally unknown constant. We introduce a constructive method that gives the quantitative value of this constant.
Mathematics Subject Classification: 35Q53 / 34H05
Key words: Korteweg-de Vries / controllability / cost / observability
© EDP Sciences, SMAI 2021
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.