3 citations · 7 across the 6 of their papers we have counts for
6 papers
The Morse index theorem for mechanical systems with reflections
Jared Wunsch, Mengxuan Yang, Yuzhou Zou
We prove a Morse index theorem for action functionals on paths that are allowed to reflect at a hypersurface (either in the interior or at the boundary of a manifold). Both fixed a…
Boundary triples for a family of degenerate elliptic operators of Keldysh type
François Monard, Yuzhou Zou
We consider a one-parameter family of degenerately elliptic operators on the closed disk , of Keldysh (or Kimura) type, which appears in prior work [Mishra…
The -isomorphism property for a class of singularly-weighted X-ray transforms
Rohit Kumar Mishra, François Monard, Yuzhou Zou
We study a one-parameter family of self-adjoint normal operators for the X-ray transform on the closed Euclidean disk , obtained by considering specific singularly wei…
Microlocal Methods for The Elastic Travel Time Tomography Problem for Transversely Isotropic Media
Yuzhou Zou
We study the travel time tomography problem for transversely isotropic media using the artificial boundary method used in works in X-ray tomography and boundary rigidity problems.…
Streak artifacts from non-convex metal objects in X-ray tomography
Yiran Wang, Yuzhou Zou
We study artifacts in the reconstruction of X-ray tomography due to nonlinear effects. For non-convex metal objects, we analyze the new phenomena of streak artifacts from inflectio…
Partial Global Recovery in the Elastic Travel Time Tomography Problem for Transversely Isotropic Media
Yuzhou Zou
We consider the problem of recovering material parameters in a transversely isotropic medium from the qP and qSV waves' travel times, given the axis of isotropy and the material pa…