27 citations · 211 across the 28 of their papers we have counts for
5 papers · 1 filter
Exponential time-decay for a one dimensional wave equation with coefficients of bounded variation
Kiril Datchev, Jacob Shapiro
We consider the initial-value problem for a one-dimensional wave equation with coefficients that are positive, constant outside of an interval, and have bounded variation (BV). Und…
Low energy scattering asymptotics for planar obstacles
T. J. Christiansen, K. Datchev
We compute low energy asymptotics for the resolvent of a planar obstacle, and deduce asymptotics for the corresponding scattering matrix, scattering phase, and exterior Dirichlet-t…
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…
Propagation of singularities for the wave equation
Dean Baskin, Kiril Datchev
This expository note gives a digest version of Hormander's propagation of singularities theorem for the wave equation.
Seven Useful Questions in Density Functional Theory
Steven Crisostomo, Ryan Pederson, John Kozlowski +6
We explore a variety of unsolved problems in density functional theory, where mathematicians might prove useful. We give the background and context of the different problems, and w…