We prove that the inverse problem of determining unknown defects of various types in a conductor by performing electrostatic measurements at the boundary is severely ill-posed. We show that the ill-posedness does not depend on the nature of the defects to be determined and, more importantly, by the kind, choice and number of measurements performed. © 2007 IOP Publishing Ltd.

Exponential instability for inverse elliptic problems with unknown boundaries

Rondi L.
2007

Abstract

We prove that the inverse problem of determining unknown defects of various types in a conductor by performing electrostatic measurements at the boundary is severely ill-posed. We show that the ill-posedness does not depend on the nature of the defects to be determined and, more importantly, by the kind, choice and number of measurements performed. © 2007 IOP Publishing Ltd.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11571/1440914
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