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.
2007-01-01
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.File in questo prodotto:
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