The mathematical basis of the inverse scattering problem for cracks from near-field data

DOI10.1155/2015/863086zbMath1394.78011OpenAlexW2115328996WikidataQ59119706 ScholiaQ59119706MaRDI QIDQ1666789

Jun Guo, Yao Mao, Yongguang Chen

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/863086

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (1)

The inverse scattering problem for partially penetrable obstacles

Cites Work

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• The inverse scattering problem for cavities
• The inverse scattering problem for cavities with impedance boundary condition
• Inverse scattering for shape and impedance
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• On the inverse acoustic scattering problem by an open arc: the sound-hard case
• The linear sampling method for cracks
• An application of the reciprocity gap functional to inverse scattering theory
• Uniqueness in inverse obstacle scattering (acoustics)
• Fréchet differentiability of the far field operator for scattering from a crack

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