تقرير
Inverse problem for the Rayleigh system with spectral data
| العنوان: | Inverse problem for the Rayleigh system with spectral data |
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| المؤلفون: | de Hoop, Maarten V., Iantchenko, Alexei |
| المصدر: | J. Math. Phys. 63, 031505 (2022) |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematical Physics, Mathematics - Spectral Theory, Physics - Geophysics, 35P99, 35Q86, 35J10, 34L05, 34L40, 34L25 |
| الوصف: | We analyze an inverse problem associated with the time-harmonic Rayleigh system on a flat elastic half-space concerning the recovery of Lam\'{e} parameters in a slab beneath a traction-free surface. We employ the Markushevich substitution, while the data are captured in a Jost function, and point out parallels with a corresponding problem for the Schr\"{o}dinger equation. The Jost function can be identified with spectral data. We derive a Gel'fand-Levitan type equation and obtain uniqueness with two distinct frequencies. Comment: 51 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1063/5.0055827 |
| URL الوصول: | http://arxiv.org/abs/2112.03365 |
| رقم الأكسشن: | edsarx.2112.03365 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1063/5.0055827 |
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