314 citations · 717 across the 34 of their papers we have counts for
36 papers · 1 filter
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…
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…
EIT in a layered anisotropic medium
Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro +1
We consider the inverse problem in geophysics of imaging the subsurface of the Earth in cases where a region below the surface is known to be formed by strata of different material…