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arXiv · 1207.5421

Stable determination of surface impedance on a rough obstacle by far field data

Giovanni Alessandrini·Eva Sincich·Sergio Vessella
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Abstract

We treat the stability of determining the boundary impedance of an obstacle by scattering data, with a single incident field. 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 C^{1,1}-smooth. We prove that, when the obstacle boundary is merely Lipschitz, a log-log type stability still holds.

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Giovanni Alessandrini, Eva Sincich, Sergio Vessella. 2012-07-23. Stable determination of surface impedance on a rough obstacle by far field data. https://doi.org/10.3934/ipi.2013.7.341

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