Multidimensional inverse hyperbolic problem with impulse input and a single boundary measurement

DOI10.1515/jiip.1999.7.6.573zbMath0936.35196OpenAlexW2073369278MaRDI QIDQ4933926

Masahiro Yamamoto, Vladimir G. Romanov

Publication date: 18 May 2000

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.1999.7.6.573

zbMATH Keywords

hyperbolic equationbounded domainpiecewise smooth boundaryconditional stability estimateboundary observation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15)

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Global recovery of a time-dependent coefficient for the wave equation from a single measurement ⋮ A stability estimate for an inverse problem of determining a coefficient in a hyperbolic equation with a point source ⋮ Reconstruction of a time dependent source term from a single boundary measurement in Maxwell's equations with nonlinear generalized Ohm's law ⋮ Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems ⋮ Resolving power of algorithm for solving the coefficient inverse problem for the geoelectric equation ⋮ On the determination of the sound speed and a damping coefficient by two measurements ⋮ Uniqueness for a hyperbolic inverse problem with angular control on the coefficients

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