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https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/111817
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| Title: | Inverse transmission eigenvalue problems with the twin-dense nodal subset |
| Authors: | Wang, Yu Ping;Shieh, Chung Tsun;Miao, Hong Yi |
| Keywords: | Inverse nodal problem;transmission eigenvalue problem;twin-dense nodal set;potential |
| Date: | 2017-04-01 |
| Issue Date: | 2017-10-25 02:10:40 (UTC+8) |
| Publisher: | De Gruyter |
| Abstract: | The inverse nodal problem for the Sturm–Liouville operator L(q,a) arisen from acoustic scattering problems was considered. The authors showed that q(x) on the interval [0,1] can be uniquely determined by the interior twin-dense nodal subset W_T([0,1]), or W_T([a_0,1]), respectively. Using the above results, two uniqueness theorems of the spherically symmetric speed of sound η(r) for acoustic scattering problems are obtained. |
| Relation: | Journal of Inverse and Ill-posed Problems 25(2), p.237–249 |
| DOI: | 10.1515/jiip-2016-0021 |
| Appears in Collections: | [應用數學與數據科學學系] 期刊論文
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