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Article Dans Une Revue Mathematical Control and Related Fields Année : 2011

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

Résumé

We are interested in an inverse problem for the wave equation with potential on a starshaped 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.
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Dates et versions

hal-00576296 , version 1 (14-03-2011)

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Lucie Baudouin, Emmanuelle Crépeau, Julie Valein. Global Carleman estimate on a network for the wave equation and application to an inverse problem.. Mathematical Control and Related Fields, 2011, 1 (3), p.307-330. ⟨10.3934/mcrf.2011.1.307⟩. ⟨hal-00576296⟩
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