We deal with the determination of finitely many cavities in a planar inhomogeneous conductor from one current and voltage measurement collected on the exterior boundary. We prove stability estimates under essentially minimal a priori regularity assumptions. We construct an explicit example showing the optimality of such stability estimates.

Optimal stability for the inverse problem of multiple cavities / G. Alessandrini, L. Rondi. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 176:2(2001), pp. 356-386.

Optimal stability for the inverse problem of multiple cavities

L. Rondi
2001

Abstract

We deal with the determination of finitely many cavities in a planar inhomogeneous conductor from one current and voltage measurement collected on the exterior boundary. We prove stability estimates under essentially minimal a priori regularity assumptions. We construct an explicit example showing the optimality of such stability estimates.
Stable determination; electrostatic measurements; boundary measurements; equation; defects; cracks
Settore MAT/05 - Analisi Matematica
2001
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/658562
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