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5 papers · 2 filters
Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
Elena Beretta, Maarten V. de Hoop, Elisa Francini +2
We consider the inverse problem of determining the Lamé parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We pro…
Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result
Matteo Focardi, Andrea Marchese, Emanuele Spadaro
In this note we prove an abstract version of a recent quantitative stratifcation priciple introduced by Cheeger and Naber (Invent. Math., 191 (2013), no. 2, 321-339; Comm. Pure App…
Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation
Elena Beretta, Maarten V. de Hoop, Elisa Francini +1
We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrah…
Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries
Sergio Vessella
In this paper we prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain in $\mathbb{R}…
Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non flat interfaces
Elena Beretta, Elisa Francini, Antonino Morassi +2
We consider the inverse problem of determining the Lamé moduli for a piecewise constant elasticity tensor , where is a known…