Analysis of inverse boundary value problems for elastic waves

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dc.contributor.advisorde Hoop, Maartenen_US
dc.creatorZhai, Jianen_US
dc.date.accessioned2019-05-17T14:56:19Zen_US
dc.date.available2019-05-17T14:56:19Zen_US
dc.date.created2018-05en_US
dc.date.issued2018-04-13en_US
dc.date.submittedMay 2018en_US
dc.date.updated2019-05-17T14:56:20Zen_US
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.en_US
dc.format.mimetypeapplication/pdfen_US
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>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/105729en_US
dc.language.isoengen_US
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.en_US
dc.subjectinverse boundary value problemsen_US
dc.subjectelastic wavesen_US
dc.subjectuniquenessen_US
dc.subjectstabilityen_US
dc.titleAnalysis of inverse boundary value problems for elastic wavesen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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