Non-uniqueness result for a hybrid inverse problem

DOI10.1090/conm/559/11069zbMath1242.65225OpenAlexW4249896556MaRDI QIDQ2894116

Guillaume Bal, Kui Ren

Publication date: 28 June 2012

Published in: Tomography and Inverse Transport Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/124833f47df81f11903688ab878dd3bcfe15c847

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Mathematics of Hybrid Imaging: A Brief Review ⋮ Inverse Transport and Diffusion Problems in Photoacoustic Imaging with Nonlinear Absorption ⋮ Nonlinear Quantitative Photoacoustic Tomography with Two-Photon Absorption ⋮ A Hybrid Inverse Problem in the Fluorescence Ultrasound Modulated Optical Tomography in the Diffusive Regime ⋮ Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics ⋮ A global stability estimate for the photo-acoustic inverse problem in layered media ⋮ Quantitative Photoacoustic Tomography ⋮ Hölder stability for an inverse medium problem with internal data ⋮ New Stability Estimates for the Inverse Medium Problem with Internal Data

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