2 citations · 3 across the 5 of their papers we have counts for
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Mathematical analysis of a model-constrained inverse problem for the reconstruction of early states of prostate cancer growth
Elena Beretta, Cecilia Cavaterra, Matteo Fornoni +2
The availability of cancer measurements over time enables the personalised assessment of tumour growth and therapeutic response dynamics. However, many tumours are treated after di…
On a semilinear elliptic boundary value problem arising in cardiac electrophysiology
Elena Beretta, M. Cristina Cerutti, Andrea Manzoni +1
In this paper we provide a representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction in a simplified {\em mon…
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…
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…
Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu
In this paper we study the inverse boundary value problem of determining the potential in the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is comm…