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Global Carleman estimate on a network for the wave equation and application to an inverse problem

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  • We are interested in an inverse problem for the wave equation with potential on a star-shaped network. We prove the Lipschitz stability of the inverse problem consisting in the determination of the potential on each string of the network with Neumann boundary measurements at all but one external vertices. Our main tool, proved in this article, is a global Carleman estimate for the network.
    Mathematics Subject Classification: 35R30, 93C20, 34B45.


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