Stability for Time-domain Elastic Wave Equations
| Autor: | Chen, Bochao, Gao, Yixian, Ji, Shuguan, Liu, Yang |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This paper is concerned with the inverse scattering problem involving the time-domain elastic wave equations in a bounded $d$-dimensional domain. First, an explicit reconstruction formula for the density is established by means of the Dirichlet-to-Neumann operator. The reconstruction is mainly based on the modified boundary control method and complex geometric optics solutions for the elastic wave. Next, the stable observability is obtained by a Carleman estimate. Finally, the stability for the density is presented by the connect operator. Comment: 23pp |
| Databáze: | arXiv |
| Externí odkaz: |
|