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• W1977765413 abstract "The recovery of a spherically-symmetric wave speed $v$ is considered in a bounded spherical region of radius $b$ from the set of the corresponding transmission eigenvalues for which the corresponding eigenfunctions are also spherically symmetric. If the integral of $1/v$ on the interval $[0,b]$ is less than $b,$ assuming that there exists at least one $v$ corresponding to the data, it is shown that $v$ is uniquely determined by the data consisting of such transmission eigenvalues and their multiplicities, where the multiplicity is defined as the multiplicity of the transmission eigenvalue as a zero of a key quantity. When that integral is equal to $b,$ the unique recovery is obtained when the data contains one additional piece of information. Some similar results are presented for the unique determination of the potential from the transmission eigenvalues with multiplicities for a related Schrodinger equation." @default.
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• W1977765413 date "2011-10-18" @default.
• W1977765413 modified "2023-10-17" @default.
• W1977765413 title "The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation" @default.
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• W1977765413 doi "https://doi.org/10.1088/0266-5611/27/11/115004" @default.
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