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Journal Articles Inverse Problems Year : 2012

Inverse problem for the heat equation and the Schrodinger equation on a tree

Abstract

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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Dates and versions

hal-00595147 , version 1 (24-05-2011)

Identifiers

  • HAL Id : hal-00595147 , version 1

Cite

Liviu I. Ignat, Ademir F. Pazoto, Lionel Rosier. Inverse problem for the heat equation and the Schrodinger equation on a tree. Inverse Problems, 2012, 28, pp.015011. ⟨hal-00595147⟩
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