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

Lucie Baudouin | Zendy; Emmanuelle Crépeau | Zendy; Julie Valein | Zendy

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

Author(s) -

Lucie Baudouin,

Emmanuelle Crépeau,

Julie Valein

Publication year - 2011

Publication title -

mathematical control and related fields

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.658

H-Index - 21

eISSN - 2156-8472

pISSN - 2156-8499

DOI - 10.3934/mcrf.2011.1.307

Subject(s) - inverse problem , lipschitz continuity , string (physics) , wave equation , inverse , mathematics , boundary (topology) , stability (learning theory) , boundary value problem , mathematical analysis , star (game theory) , computer science , mathematical physics , geometry , machine learning

20 pagesInternational audienceWe 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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