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Direct and inverse resonance problems for seismic surface waves

Sottile, Samuele LU (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:
author
supervisor
opponent
  • Professor Toft, Joachim, Linnaeus universitet
organization
publishing date
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
978-91-8039-338-6
978-91-8039-337-9
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         = {{978-91-8039-338-6}},
  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}},
}