3 citations · 13 across the 19 of their papers we have counts for
5 papers · 1 filter
Low Regularity Ray Tracing for Wave Equations with Gaussian beams
Alden Waters
We prove observability estimates for oscillatory Cauchy data modulo a small kernel for -dimensional wave equations with space and time dependent and coefficients…
Recovery of the sound speed for the Acoustic wave equation from phaseless measurements
Joonas Ilmavirta, Alden Waters
We recover the higher order terms for the acoustic wave equation from measurements of the modulus of the solution. The recovery of these coefficients is reduced to a question of st…
Lower resolvent bounds and Lyapunov exponents
Semyon Dyatlov, Alden Waters
We prove a new polynomial lower bound on the scattering resolvent. For that, we construct a quasimode localized on a trajectory which is trapped in the past, but not in the fut…
Stability Analysis in Magnetic Resonance Elastography II
Heiko Gimperlein, Alden Waters
We consider the inverse problem of finding unknown elastic parameters from internal measurements of displacement fields for tissues. In the sequel to Ammari, Waters, Zhang (2015),…
A deterministic optimal design problem for the heat equation
Heiko Gimperlein, Alden Waters
For the heat equation on a bounded subdomain of , we investigate the optimal shape and location of the observation domain in observability inequalites. A new deco…