| Summary: | 碩士 === 國立中正大學 === 數學系研究所 === 104 === Abstract
The inverse problem here is the recovery of a spherically -symmetric wave
speed υ 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/υ on the interval
[0, b] is less than b, assuming that there exists at least one υ corresponding to
the data, it is shown that υ 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 eigenvalues as a zero of a key
quantity.
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