3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2025
[Dispersion for the wave equation in the exterior of the torus]{Dispersion for the wave equation in the exterior of the torus in three dimensions}
Ronald Quirchmayr, Alden Waters
We prove dispersive estimates for the wave equation in the exterior of a torus. Because no separation of variables into a basis of eigenfunctions and eigenvalues exists for the tim…
math.AP2014★ 3 cited
Stability Analysis for Magnetic Resonance Elastography
Habib Ammari, Alden Waters, Hai Zhang
We consider the inverse problem of finding unknown elastic parameters from internal measurements of displacement fields for tissues. The measurements are made on the entirety of a…
math.AP2010
A Parametrix Construction for the Wave Equation with Low Regularity Coefficients Using a Frame of Gaussians
Alden Waters
We construct a frame of complex Gaussians for the space of functions. When propagated along bicharacteristics for the wave equation, the frame can be used to bu…