MICROLOCAL METHODS IN TOMOGRAPHY AND ELASTICITY
thesisposted on 29.06.2020 by Yang Zhang
In order to distinguish essays and pre-prints from academic theses, we have a separate category. These are often much longer text based documents than a paper.
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.