Direct and inverse resonance problems for seismic surface waves
(2022)- Abstract
- This thesis concerns the investigation of direct and inverse resonance results for the Love and the Rayleigh operators, which arise from decoupling the three-dimensional elastic wave equation in the semiclassical limit in the half-space. Direct resonance results in terms of the asymptotic distribution of resonances in the complex plane are obtained for the Love and the Rayleigh operators. An inverse resonance characterization problem is obtained for the Love operator using a class of Jost function and also through a suitable class of Weyl-Tichtmarsh function.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/b1196150-dc65-4bf5-8eac-f64a62010e54
- author
- Sottile, Samuele LU
- supervisor
-
- Jens Wittsten LU
- Magnus Goffeng LU
- Nils Dencker LU
- opponent
-
- Professor Toft, Joachim, Linnaeus universitet
- organization
- publishing date
- 2022-09-12
- type
- Thesis
- publication status
- published
- subject
- keywords
- Inverse problems, Resonances, Spectral theory, Love waves, Rayleigh waves
- pages
- 177 pages
- publisher
- Lund University
- defense location
- Hörmandersalen, Matematikhuset, LTH.
- defense date
- 2023-09-29 13:00:00
- ISBN
- 978-91-8039-337-9
- 978-91-8039-338-6
- language
- English
- LU publication?
- yes
- id
- b1196150-dc65-4bf5-8eac-f64a62010e54
- date added to LUP
- 2022-12-01 11:02:27
- date last changed
- 2024-02-13 11:34:55
@phdthesis{b1196150-dc65-4bf5-8eac-f64a62010e54, abstract = {{This thesis concerns the investigation of direct and inverse resonance results for the Love and the Rayleigh operators, which arise from decoupling the three-dimensional elastic wave equation in the semiclassical limit in the half-space. Direct resonance results in terms of the asymptotic distribution of resonances in the complex plane are obtained for the Love and the Rayleigh operators. An inverse resonance characterization problem is obtained for the Love operator using a class of Jost function and also through a suitable class of Weyl-Tichtmarsh function.}}, author = {{Sottile, Samuele}}, isbn = {{978-91-8039-337-9}}, keywords = {{Inverse problems; Resonances; Spectral theory; Love waves; Rayleigh waves}}, language = {{eng}}, month = {{09}}, publisher = {{Lund University}}, school = {{Lund University}}, title = {{Direct and inverse resonance problems for seismic surface waves}}, url = {{https://lup.lub.lu.se/search/files/152823012/THESIS.pdf}}, year = {{2022}}, }