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Elisa Francini
Elisa Francini
Professore di Analisi Matematica, Università di Firenze
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Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis
E Beretta, E Francini, MS Vogelius
Journal de mathématiques pures et appliquées 82 (10), 1277-1301, 2003
832003
Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map
E Francini
Inverse Problems 16 (1), 107, 2000
752000
Lipschitz stability for the electrical impedance tomography problem: the complex case
E Beretta, E Francini
Communications in Partial Differential Equations 36 (10), 1723-1749, 2011
702011
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities
E Beretta, E Francini
Contemporary Mathematics 333, 49-62, 2003
522003
Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case
H Ammari, E Beretta, E Francini, H Kang, M Lim
Journal de mathématiques pures et appliquées 94 (3), 322-339, 2010
462010
Reconstruction of thin conductivity imperfections
H Ammari, E Beretta, E Francini**
Applicable Analysis 83 (1), 63-76, 2004
422004
Uniqueness and Lipschitz stability for the identification of Lam\'e parameters from boundary measurements
E Beretta, E Francini, S Vessella
arXiv preprint arXiv:1303.2443, 2013
362013
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements
H Ammari, E Beretta, E Francini, H Kang, M Lim
Mathematics of computation 79 (271), 1757-1777, 2010
352010
SMALL VOLUME ASYMPTOTICS FOR ANISOTROPIC ELASTIC INCLUSIONS
Beretta, Bonnetier, Francini, Mazzucato
Inverse Problems and Imaging 6 (1), 1-23, 2012
34*2012
Reconstruction of thin conductivity imperfections, II. The case of multiple segments
H Ammari, E Beretta, E Francini
Applicable Analysis 85 (1-3), 87-105, 2006
332006
Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
E Beretta, MV de Hoop, E Francini, S Vessella, J Zhai
Inverse Problems 33 (3), 035013, 2017
312017
An asymptotic formula for the displacement field in the presence of thin elastic inhomogeneities
E Beretta, E Francini
SIAM journal on mathematical analysis 38 (4), 1249-1261, 2006
302006
Convexity and asymptotic estimates for large solutions of Hessian equations
A Colesanti, E Francini, P Salani
Differential and Integral Equations 13 (10-12), 1459-1472, 2000
292000
Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces
E Beretta, E Francini, A Morassi, E Rosset, S Vessella
Inverse Problems 30 (12), 125005, 2014
222014
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
M Di Cristo, E Francini, CL Lin, S Vessella, JN Wang
Journal de Mathématiques Pures et Appliquées 108 (2), 163-206, 2017
192017
Stability for quantitative photoacoustic tomographywith well-chosen illuminations
G Alessandrini, M Di Cristo, E Francini, S Vessella
Annali di Matematica Pura ed Applicata (1923-) 196 (2), 395-406, 2017
182017
Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation
E Beretta, MV de Hoop, E Francini, S Vessella
Communications in Partial Differential Equations 40 (7), 1365-1392, 2015
182015
Determination of a linear crack in an elastic body from boundary measurements—Lipschitz stability
E Beretta, E Francini, S Vessella
SIAM journal on mathematical analysis 40 (3), 984-1002, 2008
182008
An inverse problem for a higher-order parabolic equation
VL Kamynin, E Franchini
Mathematical Notes 64 (5), 590-599, 1998
171998
Differentiability of the Dirichlet to Neumann map under movements of polygonal inclusions with an application to shape optimization
E Beretta, E Francini, S Vessella
SIAM Journal on Mathematical Analysis 49 (2), 756-776, 2017
142017
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