@Article{JPDE-35-2,
author = {Yang, Shuning and Zhao, Xiangqing},
title = {Exact Boundary Controllability of Fifth-Order KdV Equation Posed on the Periodic Domain},
journal = {Journal of Partial Differential Equations},
year = {2022},
volume = {35},
number = {2},
pages = {163--172},
abstract = {<p style="text-align: justify;">In this paper, we show by Hilbert Uniqueness Method that the boundary value problem of fifth-order KdV equation\begin{align*}\begin{cases}y_{t}-y_{5 x} =0, \quad(x, t) \in(0,2 \pi) \times(0, T),\\y(t, 2 \pi)-y(t, 0) =h_{0}(t),\\y_{x}(t, 2 \pi)-y_{x}(t, 0) =h_{1}(t),\\y_{2 x}(t, 2 \pi)-y_{2 x}(t, 0) =h_{2}(t),\\y_{3 x}(t, 2 \pi)-y_{3 x}(t, 0) =h_{3}(t),\\y_{4 x}(t, 2 \pi)-y_{4 x}(t, 0) =h_{4}(t),\end{cases}\end{align*}</p><p style="text-align: justify;">(with boundary data as control inputs) is exact controllability.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v35.n2.4},
url = {https://global-sci.com/article/88109/exact-boundary-controllability-of-fifth-order-kdv-equation-posed-on-the-periodic-domain}
}