An optical tomography-related time-domain inverse problern for the diffusion equation

DOI10.1515/JIIP.1999.7.4.365zbMATH Open0930.35199OpenAlexW2058680062MaRDI QIDQ4260127

Sailing He, Vladimir G. Romanov

Publication date: 17 February 2000

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.1999.7.4.365

zbMATH Keywords

uniquenesstomography problemcoefficient in the leading term of the diffusion equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

Inverse problem for a nonlocal diffuse optical tomography equation ⋮ A fast numerical method for time-resolved photon diffusion in general stratified turbid media ⋮ Some uniqueness theorems for mammography-related time-domain inverse problems for the diffusion equation ⋮ State space regularization in the nonstationary inverse problem for diffuse optical tomography ⋮ Diffuse time tomography of strongly scattering random structures^† ⋮ Accounting for the definition domain of the forward map in traveltime tomography—application to the inversion of prismatic reflections ⋮ A wavelet multi-scale method for the inverse problem of diffuse optical tomography

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