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

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.

13 pages, submitted for publication

References in corpus (3)

• The stability for the Cauchy problem for elliptic equations
• Stable determination of an immersed body in a stationary Stokes fluid
• Stability of the determination of the surface impedance of an obstacle from the scattering amplitude

Cited by in corpus (1)

• Smoothness dependent stability in corrosion detection