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June 2005 An inverse problem for the elastic equation in plane-stratified media
Sei Nagayasu
Author Affiliations +
SUT J. Math. 41(2): 117-135 (June 2005). DOI: 10.55937/sut/1159986726

Abstract

Assume that two media are laying in a half-space and the interface wall is parallel to the boundary of the half-space. We can directly observe the data near the boundary of the half-space, but we cannot directly observe inside the half-space. In this situation, we try to identify these unknown things by creating artificial explosions and observing on the boundary the waves generated by the explosions. Here, the waves are described by the elastic equation.

Acknowledgements

The author would like to express his sincere gratitude to Professor Mitsuru Sugimoto for his unfailing guidance and his useful advice. The author would like to express his thanks to Dr. Tetsuya Sonobe and Dr. Mitsuji Tamura for their useful advice. The author also thanks the referee for useful comments.

Citation

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Sei Nagayasu. "An inverse problem for the elastic equation in plane-stratified media." SUT J. Math. 41 (2) 117 - 135, June 2005. https://doi.org/10.55937/sut/1159986726

Information

Received: 27 May 2005; Published: June 2005
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1159986726

Subjects:
Primary: 35R30

Keywords: Elastic equation , Inverse problems

Rights: Copyright © 2005 Tokyo University of Science

Vol.41 • No. 2 • June 2005
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