Cost for a controlled linear KdV equation
The controllability of the linearized KdV equation with right Neumann control is studied in the pioneering work of Rosier [25]. 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 un...
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Zusammenfassung: | The controllability of the linearized KdV equation with right Neumann control
is studied in the pioneering work of Rosier [25]. 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. |
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DOI: | 10.48550/arxiv.1911.03661 |