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

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  • 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.
    Mathematics Subject Classification: Primary: 35R30, 35R25; Secondary: 31B20.

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