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Cost for a controlled linear KdV equation (1911.03661v1)
Published 9 Nov 2019 in math.AP and math.OC
Abstract: 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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