Null controllability of KdV equation in a star-shaped network (Q6569360)

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scientific article; zbMATH DE number 7878453
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Null controllability of KdV equation in a star-shaped network
scientific article; zbMATH DE number 7878453

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    Null controllability of KdV equation in a star-shaped network (English)
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    9 July 2024
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    This paper investigates the boundary null controllability of a system of \(N\) linear Korteweg-de Vries equations in a star-shaped network. A Carleman inequality is given for the adjoint system. Moreover, a null controllability result is proved by means of the Carleman inequality and a dissipation estimate.
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    Korteweg-de Vries equation
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    null controllability
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    PDEs on networks
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    Carleman inequalities
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