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arXiv · 1706.04798

Control and Stabilization of the Periodic Fifth Order Korteweg-de Vries Equation

Cynthia Flores·Derek L. Smith
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Abstract

We establish local exact control and local exponential stability of periodic solutions of fifth order Korteweg-de Vries type equations in $H^s(\mathbb{T})$, $s>2$. A dissipative term is incorporated into the control which, along with a propagation of regularity property, yields a smoothing effect permitting the application of the contraction principle.

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Cynthia Flores, Derek L. Smith. 2017-06-15. Control and Stabilization of the Periodic Fifth Order Korteweg-de Vries Equation. https://arxiv.org/abs/1706.04798

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