On the convergence of the time reversal method for thermoacoustic tomography in elastic media

DOI10.1016/j.aml.2017.10.004zbMath1382.35157OpenAlexW2765682209MaRDI QIDQ1691034

Peng Zhang

Publication date: 12 January 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.10.004

zbMATH Keywords

elastic wavesinverse source problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (7)

A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data ⋮ Analysis for Full-Field Photoacoustic Tomography with Variable Sound Speed ⋮ A continuous adjoint for photo-acoustic tomography of the brain ⋮ The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary data ⋮ The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations ⋮ Recovering the initial condition of parabolic equations from lateral Cauchy data via the quasi-reversibility method ⋮ Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations

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