CodiceQDD 38
TitoloIdentifiability problems of defects with Robin condition
Data2008-10-08
Autore/iPagani, C.D.; Pierotti, D.
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PubblicatoInverse Problems
AbstractWe consider the inverse problem of recovering the shape of an inclusion or of a crack contained in a connected domain $ omega$, and the problem of reconstructing part of the boundary $ partial omega$ itself, when a condition of the third kind (Robin condition) is prescribed on the defects. We prove a result of uniqueness by two measures: two different defects, with different coefficients of the Robin condition, cannot be compatible with same two pairs of Cauchy data on the (accessible) boundary. In case of cracks, we also prove that a single measure is sufficient if the coefficient of the Robin condition is known.