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MICROLOCAL METHODS IN TOMOGRAPHY AND ELASTICITY

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thesis
posted on 29.06.2020 by Yang Zhang
This thesis compiles my work on three projects.
The first project studies the cancellation of singularities in the inversion of two X-ray type transforms in the presence of conjugate points. The second project studies the recovery of singularities for the weighted cone transform. The third project studies the phenomenon of Rayleigh waves and Stoneley waves in the isotropic elastic wave equation of variable coefficients with a curved boundary.

Funding

NSF Grant DMS-1600327

Purdue Research Fellowship Grant

History

Degree Type

Doctor of Philosophy

Department

Mathematics

Campus location

West Lafayette

Advisor/Supervisor/Committee Chair

Plamen Stefanov

Additional Committee Member 2

Antônio Sá Barreto

Additional Committee Member 3

Kiril Datchev

Additional Committee Member 4

Isaac Harris

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Licence

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