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On a Hybrid method for shape reconstruction of a buried object in an elastostatic half plane
The inverse acoustic obstacle scattering problem and its interior dual
1.  School of Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom 
[1] 
Lu Zhao, Heping Dong, Fuming Ma. Inverse obstacle scattering for acoustic waves in the time domain. Inverse Problems & Imaging, 2021, 15 (5) : 12691286. doi: 10.3934/ipi.2021037 
[2] 
Mourad Sini, Nguyen Trung Thành. Inverse acoustic obstacle scattering problems using multifrequency measurements. Inverse Problems & Imaging, 2012, 6 (4) : 749773. doi: 10.3934/ipi.2012.6.749 
[3] 
Giorgio Menegatti, Luca Rondi. Stability for the acoustic scattering problem for soundhard scatterers. Inverse Problems & Imaging, 2013, 7 (4) : 13071329. doi: 10.3934/ipi.2013.7.1307 
[4] 
YiHsuan Lin. Reconstruction of penetrable obstacles in the anisotropic acoustic scattering. Inverse Problems & Imaging, 2016, 10 (3) : 765780. doi: 10.3934/ipi.2016020 
[5] 
Fenglong Qu, Jiaqing Yang. On recovery of an inhomogeneous cavity in inverse acoustic scattering. Inverse Problems & Imaging, 2018, 12 (2) : 281291. doi: 10.3934/ipi.2018012 
[6] 
Peijun Li, Xiaokai Yuan. Inverse obstacle scattering for elastic waves in three dimensions. Inverse Problems & Imaging, 2019, 13 (3) : 545573. doi: 10.3934/ipi.2019026 
[7] 
T. J. Christiansen. Resonances and balls in obstacle scattering with Neumann boundary conditions. Inverse Problems & Imaging, 2008, 2 (3) : 335340. doi: 10.3934/ipi.2008.2.335 
[8] 
Masaru Ikehata, Esa Niemi, Samuli Siltanen. Inverse obstacle scattering with limitedaperture data. Inverse Problems & Imaging, 2012, 6 (1) : 7794. doi: 10.3934/ipi.2012.6.77 
[9] 
Gang Bao, Mingming Zhang, Bin Hu, Peijun Li. An adaptive finite element DtN method for the threedimensional acoustic scattering problem. Discrete and Continuous Dynamical Systems  Series B, 2021, 26 (1) : 6179. doi: 10.3934/dcdsb.2020351 
[10] 
Jun Lai, Ming Li, Peijun Li, Wei Li. A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers. Inverse Problems & Imaging, 2018, 12 (3) : 635665. doi: 10.3934/ipi.2018027 
[11] 
Deyue Zhang, Yukun Guo. Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory. Electronic Research Archive, 2021, 29 (2) : 21492165. doi: 10.3934/era.2020110 
[12] 
Jianliang Li, Jiaqing Yang, Bo Zhang. A linear sampling method for inverse acoustic scattering by a locally rough interface. Inverse Problems & Imaging, 2021, 15 (5) : 12471267. doi: 10.3934/ipi.2021036 
[13] 
Lu Zhao, Heping Dong, Fuming Ma. Timedomain analysis of forward obstacle scattering for elastic wave. Discrete and Continuous Dynamical Systems  Series B, 2021, 26 (8) : 41114130. doi: 10.3934/dcdsb.2020276 
[14] 
Jeremy L. Marzuola. Dispersive estimates using scattering theory for matrix Hamiltonian equations. Discrete & Continuous Dynamical Systems, 2011, 30 (4) : 9951035. doi: 10.3934/dcds.2011.30.995 
[15] 
Michele Di Cristo. Stability estimates in the inverse transmission scattering problem. Inverse Problems & Imaging, 2009, 3 (4) : 551565. doi: 10.3934/ipi.2009.3.551 
[16] 
Amadeu Delshams, Josep J. Masdemont, Pablo Roldán. Computing the scattering map in the spatial Hill's problem. Discrete and Continuous Dynamical Systems  Series B, 2008, 10 (2&3, September) : 455483. doi: 10.3934/dcdsb.2008.10.455 
[17] 
Fang Zeng, Pablo Suarez, Jiguang Sun. A decomposition method for an interior inverse scattering problem. Inverse Problems & Imaging, 2013, 7 (1) : 291303. doi: 10.3934/ipi.2013.7.291 
[18] 
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki, Kanako Suzuki. Scattering and inverse scattering for nonlinear quantum walks. Discrete & Continuous Dynamical Systems, 2018, 38 (7) : 36873703. doi: 10.3934/dcds.2018159 
[19] 
Francesco Demontis, Cornelis Van der Mee. Novel formulation of inverse scattering and characterization of scattering data. Conference Publications, 2011, 2011 (Special) : 343350. doi: 10.3934/proc.2011.2011.343 
[20] 
Benoît Pausader, Walter A. Strauss. Analyticity of the nonlinear scattering operator. Discrete & Continuous Dynamical Systems, 2009, 25 (2) : 617626. doi: 10.3934/dcds.2009.25.617 
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