Cost for a controlled linear KdV equation
Analysis of PDEs
2019-11-12 v1 Optimization and Control
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.
Cite
@article{arxiv.1911.03661,
title = {Cost for a controlled linear KdV equation},
author = {Joachim Krieger and Shengquan Xiang},
journal= {arXiv preprint arXiv:1911.03661},
year = {2019}
}