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20172025
most citedNonlinear interaction of waves in elastodynamics and an inverse problem

8 citations · 13 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.AP2022

Uniqueness in an inverse problem of fractional elasticity

Giovanni Covi, Maarten de Hoop, Mikko Salo

We study an inverse problem for fractional elasticity. In analogy to the classical problem of linear elasticity, we consider the unique recovery of the Lamé parameters associated t…

math.AP2019

Semiclassical inverse spectral problem for elastic Rayleigh waves in isotropic media

Maarten V. de Hoop, Alexei Iantchenko, Robert D. van der Hilst +1

We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [arXiv: 1908.10529] to Rayleigh waves. U…

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 whose Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we are given the solutio…

math.AP2018★ 8 cited

Nonlinear interaction of waves in elastodynamics and an inverse problem

Maarten de Hoop, Gunther Uhlmann, Yiran Wang

We consider nonlinear elastic wave equations generalizing Gol'dberg's five constants model. We analyze the nonlinear interaction of two distorted plane waves and characterize the p…

math.AP2018★ 1 cited

Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map

Maarten V. de Hoop, Gen Nakamura, Jian Zhai

We study the recovery of piecewise analytic density and stiffness tensor of a three-dimensional domain from the local dynamical Dirichlet-to-Neumann map. We give global uniqueness…

math.AP2017

Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction

Maarten de Hoop, Paul Kepley, Lauri Oksanen

In this paper, we study the inverse boundary value problem for the wave equation with a view towards an explicit reconstruction procedure. We consider both the anisotropic problem…