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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22649完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王振男(Jenn-Nan Wang) | |
| dc.contributor.author | Yu-Zhi Chen | en |
| dc.contributor.author | 陳昱誌 | zh_TW |
| dc.date.accessioned | 2021-06-08T04:23:27Z | - |
| dc.date.copyright | 2010-07-02 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-06-28 | |
| dc.identifier.citation | [1] F. Cakoni, D. Colton, and P. Monk, On the use of transmission eigenvalues to estimate the index of refraction from far field data, Inverse Problem, 23, pp.507-522(2007).
[2] F. Cakoni and H. Haddar, On the existence of transmission eigenvalues in an inhomogeneous medium, Applicable Analysis, 88, pp.475-493(2009). [3] D. Colton and A. Kirsch, A simple method for solving inverse scattering problems in the resonance region, Inverse Problem 12, pp.383-389 (1996). [4] D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 2nd edition, Springer Verlag, Berlin, 1998. [5] D. Colton and R. Kress, Integral Equation Methods in Scattering Theory, Wiley-Interscience Publication, New York, 1983. [6] D. Colton, L. P aiv arinta and J. Sylvester, The interior transmission problem, Inverse Problems and Imaging, 1, pp.13-28 (2007). [7] M. Schechter, Principle of Functional analysis, Academic Press, New York, 1971. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22649 | - |
| dc.description.abstract | 這篇論文是要介紹與探討純量上的內傳導特徵值問題，我們主要關注內傳導特徵值的可數性與存在性，並且經由內傳導特徵值來得到傳導介質折射率的一些估計。 | zh_TW |
| dc.description.abstract | This paper is the survey of the interior transmission eigenvalue problem in the scalar case. We are concerned with the countability and existence of the transmission eigenvalues, and some estimates of refractive index from the transmission eigenvalues. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T04:23:27Z (GMT). No. of bitstreams: 1 ntu-99-R97221033-1.pdf: 1911120 bytes, checksum: daf0913e91e8dfa50a8b42b837dddc15 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 口試委員會審定書...........................................i
誌謝......................................................ii 中文摘要.................................................iii Abstract..................................................iv Contents...................................................v 1 Introduction............................................1 2 Acoustic waves in an inhomogeneous medium and interior transmission problem.......................................1 3 The countability of transmission eigenvalues............5 4 The existence of transmission eigenvalues..............21 5 Some estimates of the refractive index from the transmission eigenvalues..................................31 References................................................34 | |
| dc.language.iso | en | |
| dc.title | 內傳導特徵值問題及其在反問題上之應用 | zh_TW |
| dc.title | Interior transmission eigenvalue problem and its application to inverse problems | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳俊全(Chiun-Chuan Chen),林景隆(Ching-Lung Lin) | |
| dc.subject.keyword | 反散射問題,遠場,內傳導問題,傳導特徵值,折射率, | zh_TW |
| dc.subject.keyword | inverse scattering problem,far field,interior transmission problem,transmission eigenvalue,refractive index., | en |
| dc.relation.page | 34 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2010-06-28 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-99-1.pdf 目前未授權公開取用 | 1.87 MB | Adobe PDF |
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