MICROLOCAL METHODS IN TOMOGRAPHY AND ELASTICITY Yang Zhang 10.25394/PGS.12565706.v1 https://hammer.purdue.edu/articles/thesis/MICROLOCAL_METHODS_IN_TOMOGRAPHY_AND_ELASTICITY/12565706 <div>This thesis compiles my work on three projects.</div><div>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.</div> 2020-06-29 19:07:18 tomography imaging Microlocal Analysis Rayleigh waves Partial Differential Equations Applied Mathematics not elsewhere classified