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• W3204245705 abstract "<p style='text-indent:20px;'>In this work, we use the classical moment method to find a practical and simple criterion to determine if a family of linearized Dispersive equations on a periodic domain is exactly controllable and exponentially stabilizable with any given decay rate in <inline-formula><tex-math id=M1>begin{document}$ H_{p}^{s}(mathbb{T}) $end{document}</tex-math></inline-formula> with <inline-formula><tex-math id=M2>begin{document}$ sin mathbb{R}. $end{document}</tex-math></inline-formula> We apply these results to prove that the linearized Smith equation, the linearized dispersion-generalized Benjamin-Ono equation, the linearized fourth-order Schrödinger equation, and the Higher-order Schrödinger equations are exactly controllable and exponentially stabilizable with any given decay rate in <inline-formula><tex-math id=M3>begin{document}$ H_{p}^{s}(mathbb{T}) $end{document}</tex-math></inline-formula> with <inline-formula><tex-math id=M4>begin{document}$ sin mathbb{R}. $end{document}</tex-math></inline-formula></p>" @default.
• W3204245705 created "2021-10-11" @default.
• W3204245705 creator A5074140476 @default.
• W3204245705 creator A5076546134 @default.
• W3204245705 date "2022-01-01" @default.
• W3204245705 modified "2023-10-01" @default.
• W3204245705 title "Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain" @default.
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• W3204245705 doi "https://doi.org/10.3934/eect.2021062" @default.
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