Analysis of inverse boundary value problems for elastic waves

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dc.contributor.advisorde Hoop, Maarten
dc.creatorZhai, Jian
dc.date.accessioned2019-05-17T14:56:19Z
dc.date.available2019-05-17T14:56:19Z
dc.date.created2018-05
dc.date.issued2018-04-13
dc.date.submittedMay 2018
dc.date.updated2019-05-17T14:56:20Z
dc.description.abstractIn seismology, people use waves generated by earthquakes, artificial explosions, or even "noises", to detect the Earth's interior structure. The waves traveling in rocks, which are the main components of Earth's crust and mantle, are elastic waves. A key problem in seismology is whether the interior structures of interest could be uniquely determined by the measurements people can collect. Since in most situations, people can only record the vibrations at the surface, such problems usually are formulated as inverse boundary value problems for the elastic wave equation. We study several inverse boundary value problems for the elastic wave equation and give some uniqueness and stability results for them.
dc.format.mimetypeapplication/pdf
dc.identifier.citationZhai, Jian. "Analysis of inverse boundary value problems for elastic waves." (2018) Diss., Rice University. <a href="https://hdl.handle.net/1911/105729">https://hdl.handle.net/1911/105729</a>.
dc.identifier.urihttps://hdl.handle.net/1911/105729
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectinverse boundary value problems
dc.subjectelastic waves
dc.subjectuniqueness
dc.subjectstability
dc.titleAnalysis of inverse boundary value problems for elastic waves
dc.typeThesis
dc.type.materialText
thesis.degree.departmentComputational and Applied Mathematics
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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