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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/111817


    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: https://doi.org/10.1515/jiip-2016-0021
    Appears in Collections:[數學學系暨研究所] 期刊論文

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