Exact Boundary Controllability of Fifth-Order KdV Equation Posed on the Periodic Domain
Year: 2022
Author: Shuning Yang, Xiangqing Zhao
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 163–172
Abstract
In this paper, we show by Hilbert Uniqueness Method that the boundary value problem of fifth-order KdV equation{yt−y5x=0,(x,t)∈(0,2π)×(0,T),y(t,2π)−y(t,0)=h0(t),yx(t,2π)−yx(t,0)=h1(t),y2x(t,2π)−y2x(t,0)=h2(t),y3x(t,2π)−y3x(t,0)=h3(t),y4x(t,2π)−y4x(t,0)=h4(t),
(with boundary data as control inputs) is exact controllability.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n2.4
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 163–172
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Fifth-order KdV equation Hilbert Uniqueness Method exact controllability.
Author Details
Shuning Yang Email
Xiangqing Zhao Email