de Hoop, Maarten2019-05-172019-05-172018-052018-04-13May 2018Zhai, 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>.https://hdl.handle.net/1911/105729In 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.application/pdfengCopyright 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.inverse boundary value problemselastic wavesuniquenessstabilityThesis2019-05-17