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arXiv · 1911.03661

Cost for a controlled linear KdV equation

Joachim Krieger·Shengquan Xiang
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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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Joachim Krieger, Shengquan Xiang. 2019-11-09. Cost for a controlled linear KdV equation. https://arxiv.org/abs/1911.03661

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