Data di Pubblicazione:
2006
Citazione:
Unique continuation from Cauchy data in unknown non-smooth domains / L. Rondi. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 5:2(2006), pp. 189-218. [10.2422/2036-2145.2006.2.04]
Abstract:
We consider a conducting body which presents some (unknown) perfectly insulating defects, such as cracks or cavities, for instance. We perform measurements of current and voltage
type on a (known) part of the boundary of the conductor. We prove that, even if the defects are unknown, the current and voltage measurements at the boundary uniquely determine the corresponding electrostatic potential inside the conductor. A corresponding stability result, related to the stability of Neumann problems with respect to domain variations, is also proved. Some applications of these results to inverse problems are presented.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Neumann problems; stability result; cracks
Elenco autori:
L. Rondi
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