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math.AP2004
Stable determination of an inclusion by boundary measurements
Giovanni Alessandrini, Michele Di Cristo
We deal with the problem of determining an inclusion within an electrical conductor from electrical boundary measurements. Under mild a priori assumptions we establish an optimal s…
math.AP2003★ 9 cited
Examples of exponential instability for elliptic inverse problems
Michele Di Cristo, Luca Rondi
Following a recent paper by N. Mandache (Inverse Problems 17 (2001), pp. 1435-1444), we establish a general procedure for determining the instability character of inverse problems.…