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arXiv · 1702.05631

Controllability Aspects of the Korteweg-de Vries Burgers Equation on Unbounded Domains

F. A. Gallego
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Abstract

The aim of this work is to consider the controllability problem of the linear system associated to Korteweg-de Vries Burgers equation posed in the whole real line. We obtain a sort of exact controllability for solutions in $L^2_{loc}(\R^2)$ by deriving an internal observability inequality and a Global Carlemann estimate. Following the ideas contained in \cite{rosier2000}, the problem is reduced to prove an approximate theorem.

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F. A. Gallego. 2017-02-18. Controllability Aspects of the Korteweg-de Vries Burgers Equation on Unbounded Domains. https://arxiv.org/abs/1702.05631

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