On stability for a translated obstacle with impedance boundary condition
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Publication:1763688
DOI10.1016/j.na.2004.07.033zbMath1062.35175OpenAlexW2030764277MaRDI QIDQ1763688
Publication date: 22 February 2005
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2004.07.033
stabilityuniquenessnonlinearityHelmholtz equationinverse scatteringfar-field patternregularized Newton iteration
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
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Cites Work
- An inverse acoustic scattering problem for an obstacle with an impedance boundary condition
- Stability of the recovery of surface impedances in inverse scattering
- Inverse acoustic and electromagnetic scattering theory.
- Reconstruction and uniqueness of an inverse scattering problem with impedance boundary
- Inverse scattering for shape and impedance
- Karp's Theorem in Acoustic Scattering Theory
- Uniqueness and stability of the recovery of a sound soft obstacle from a knowledge of its scattering resonances
- New stability results for soft obstacles in inverse scattering
- Inverse obstacle problem: local uniqueness for rougher obstacles and the identification of a ball
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- Uniqueness in inverse obstacle scattering (acoustics)
- Lipschitz stability estimates for translations and balls in inverse scattering
