Fréchet differentiability of the far field operator for scattering from a crack
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Publication:4862753
DOI10.1515/jiip.1995.3.4.305zbMath0846.35146OpenAlexW2085717684MaRDI QIDQ4862753
Publication date: 12 February 1996
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.1995.3.4.305
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)
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On the identification of the flatness of a sound-hard acoustic crack ⋮ The problem of scattering by a mixture of cracks and obstacles ⋮ Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data. ⋮ Time Domain Linear Sampling Method for Inverse Scattering Problems with Cracks ⋮ Application of the factorization method to retrieve a crack from near field data ⋮ The mathematical basis of the inverse scattering problem for cracks from near-field data ⋮ Bayesian approach to inverse time-harmonic acoustic scattering with phaseless far-field data ⋮ Mathematical basis for a mixed inverse scattering problem ⋮ The direct scattering problem for a crack buried in a piecewise homogenous medium ⋮ The problem of scattering by a partially coated crack ⋮ The method of boundary integral equations for a mixed scattering problem ⋮ Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium ⋮ Mathematical basis of scattering problems from penetrable obstacles and cracks ⋮ Mathematical analysis of scattering problems for partially coated obstacles and cracks
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