Peter Caday

activity

20172019

most citedScattering Control for the Wave Equation with Unknown Wave Speed

14 citations · 15 across the 2 of their papers we have counts for

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3 papers · 1 filter

math.AP2019★ 1 cited

Recovery of discontinuous Lamé parameters from local dynamic boundary data

Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1

Consider an isotropic elastic medium $Ω \subset R^{3}$ whose Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we are given the solutio…

math.AP2018

Reconstruction of piecewise smooth wave speeds using multiple scattering

Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1

Let $c$ be a piecewise smooth wave speed on $R^{n}$ , unknown inside a domain $Ω$ . We are given the solution operator for the scalar wave equation $(\partial_{t}^{2} - c^{2} Δ) u = 0$ , bu…

math.AP2017★ 14 cited

Scattering Control for the Wave Equation with Unknown Wave Speed

Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1

Consider the acoustic wave equation with unknown, not necessarily smooth, wave speed $c$ . We propose and study an iterative control procedure that erases the history of a wave fiel…