A_thesis.pdf (2.08 MB)
MICROLOCAL METHODS IN TOMOGRAPHY AND ELASTICITY
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