Volume 27, 2021Regular 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
|Number of page(s)||41|
|Published online||01 March 2021|
Cost for a controlled linear KdV equation
Bâtiment des Mathématiques, EPFL,
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
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