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Size estimates in thermography

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We deal with the problem of recovery of an unknown inclusion located in a medium Ω by prescribing a heat flux on the boundary of Ω and measuring the corresponding temperature. In particular, we provide an upper and a lower bound on the size of the inclusion. We also show the validity and the accuracy of the method with some numerical examples.

Keywords: inverse problems; size estimates; thermography

Document Type: Research Article


Affiliations: 1: Institute of Mathematics, Fudan University, Shanghai, China 2: Dipartimento di Matematica, Politecnico di Milano, Italy 3: Department of Mathematics, Hokkaido University, Sapporo, Japan

Publication date: June 1, 2009

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