314 citations · 717 across the 34 of their papers we have counts for
37 papers
Determining an anisotropic conductivity by boundary measurements: stability at the boundary
Giovanni Alessandrini, Romina Gaburro, Eva Sincich
We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body by means of the so called local Neumann to Dirichlet map on a curved portion of…
A small collection of open problems
Giovanni Alessandrini
This paper collects some problems that I have encountered during the years, have puzzled me and which, to the best of my knowledge, are still open. Most of them are well-known and…
Full Reciprocity-Gap Waveform Inversion in the frequency domain, enabling sparse-source acquisition
Florian Faucher, Giovanni Alessandrini, Hélène Barucq +3
The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploratio…
Globally diffeomorphic --harmonic mappings
Giovanni Alessandrini, Vincenzo Nesi
Given a two--dimensional mapping whose components solve a divergence structure elliptic equation, we give necessary and sufficient conditions on the boundary so that is a g…
Locally invertible -harmonic mappings
Giovanni Alessandrini, Vincenzo Nesi
We extend a classical theorem by H. Lewy to planar -harmonic mappings, that is mappings whose components and solve a divergence structure elliptic equation ${\rm…
Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate's equation with Dirichlet conditions
Giovanni Alessandrini, Edi Rosset, Sergio Vessella
We prove a three sphere inequality with optimal exponent at the boundary for solutions to the Kirchhoff-Love plate's equation satisfying homogeneous Dirichlet conditions. This resu…