Inverse problem for the heat equation and the Schrodinger equation on a tree
Résumé
In this paper we establish global Carleman estimates for the heat and Schrodinger equations on a network. The heat equation is considered on a general tree and the Schrodinger equation on a star-shaped tree. The Carleman inequalities are used to prove the Lipschitz stability for an inverse problem consisting in retrieving a stationary potential in the heat (resp. the Schrodinger) equation from boundary measurements.
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