On the inverse spectral problem of the string with a piecewise constant density function
碩士 === 國立清華大學 === 數學系 === 92 === This paper is concerned with using two spectral data to determine the piecewise constant density function of a string equation. We will also prove that if the Dirichlet-Dirichlet spectrum and the Neumann-Dirichlet spectrum of a string equation are the same as these o...
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| Format: | Others |
| Language: | en_US |
| Published: |
2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/68172570644192661469 |
| Summary: | 碩士 === 國立清華大學 === 數學系 === 92 === This paper is concerned with using two spectral data to determine the piecewise constant density function of a string equation. We will also prove that if the Dirichlet-Dirichlet spectrum and the Neumann-Dirichlet spectrum of a string equation are the same as these of a homogenous string equation with the density function which equals to 1 on [0,1], then the density function is equal to 1 almost everywhere on [0,1].
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