3 papers
math.AP2026
The scattering matrix for the p-form Laplacian on asymptotically conic manifolds
Nelia Charalambous, Alden Waters
We give an explicit description of the scattering matrix for the Hodge-Laplacian on co-closed p-forms on asymptotically conic manifolds of dimension . We develop generaliz…
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.AP2024
Dispersive Estimates for Maxwell's Equations in the Exterior of a Sphere
Alden Waters, Yan-Long Fang
The goal of this article is to establish general principles for high frequency dispersive estimates for Maxwell's equation in the exterior of a perfectly conducting ball. We constr…