We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschitz type on the continuous dependence of an unknown linear crack from the boundary measurements.
DETERMINING LINEAR CRACKS BY BOUNDARY MEASUREMENT: LIPSCHITZ STABILITY / G. ALESSANDRINI E. BERETTA; S. VESSELLA. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 27:(1996), pp. 361-375. [10.1137/S0036141094265791]
DETERMINING LINEAR CRACKS BY BOUNDARY MEASUREMENT: LIPSCHITZ STABILITY
VESSELLA, SERGIO
1996
Abstract
We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschitz type on the continuous dependence of an unknown linear crack from the boundary measurements.
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