We treat the stability of determining the boundary impedance of an obstacle by scattering data, with a single incident eld. A previous result by Sincich (SIAM J. Math. Anal. 38, (2006), 434-451) showed a log stability when the boundary of the obstacle is assumed to be C1;1-smooth. We prove that, when the obstacle boundary is merely Lipschitz, a log-log type stability still holds.
STABLE DETERMINATION OF SURFACE IMPEDANCE ON A ROUGH OBSTACLE BY FAR FIELD DATA / G. ALESSANDRINI; E. SINCICH; S. VESSELLA. - In: INVERSE PROBLEMS AND IMAGING. - ISSN 1930-8337. - STAMPA. - 7:(2013), pp. 341-351. [10.3934/ipi.2013.7.341]
STABLE DETERMINATION OF SURFACE IMPEDANCE ON A ROUGH OBSTACLE BY FAR FIELD DATA
VESSELLA, SERGIO
2013
Abstract
We treat the stability of determining the boundary impedance of an obstacle by scattering data, with a single incident eld. A previous result by Sincich (SIAM J. Math. Anal. 38, (2006), 434-451) showed a log stability when the boundary of the obstacle is assumed to be C1;1-smooth. We prove that, when the obstacle boundary is merely Lipschitz, a log-log type stability still holds.
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