58 citations · 184 across the 40 of their papers we have counts for
52 papers
Hypoellipticity on time-periodic space-times
Sandro Coriasco, Perry Kleinhenz, Jared Wunsch
We study the hypoellipticity of operators on a product type Lorentzian manifold where the time variable is periodic. In particular, we prove that hypoellipticity holds for such tim…
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…
Propagation for Schrödinger operators with potentials singular along a hypersurface
Jeffrey Galkowski, Jared Wunsch
In this article, we study propagation of defect measures for Schrödinger operators, , on a Riemannian manifold of dimension with having conormal singular…
Wave propagation on rotating cosmic string spacetimes
Katrina Morgan, Jared Wunsch
A rotating cosmic string spacetime has a singularity along a timelike curve corresponding to a one-dimensional source of angular momentum. Such spacetimes are not globally hyperbol…
Newton polygons and resonances of multiple delta-potentials
Kiril Datchev, Jeremy L. Marzuola, Jared Wunsch
We prove explicit asymptotics for the location of semiclassical scattering resonances in the setting of -dependent delta-function potentials on . In the cases of two…
The -FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
Jeffrey Galkowski, David Lafontaine, Euan A. Spence +1
We consider approximation of the variable-coefficient Helmholtz equation in the exterior of a Dirichlet obstacle using perfectly-matched-layer (PML) truncation; it is well known th…