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An inverse problem for the one-dimensional wave equation in multilayer media
| Title: | An inverse problem for the one-dimensional wave equation in multilayer media |
| Authors: | Nagayasu, Sei Browse this author |
| Issue Date: | Jun-2007 |
| Publisher: | Dept. of Mathematics, Osaka University |
| Journal Title: | Osaka Journal of Mathematics |
| Volume: | 44 |
| Issue: | 2 |
| Start Page: | 415 |
| End Page: | 439 |
| Abstract: | We consider half-line media which consist of many kinds of substances.We assume that the waves through this media are described by the one-dimensional wave equation. We can directly observe the data near the boundary point of the half-line, but we cannot directly observe the data of things away from the boundary point. In this situation, we try to identify these unknown things by creating an artificial explosion and observing on the boundary point the waves generated by the explosion. In the previous works related to this problem, only the speeds of the waves were treated, but we also take into account the impedances of the media in our setting. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/43018 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 永安 聖
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