# zbMATH — the first resource for mathematics

## Alessandrini, Giovanni

Compute Distance To:
 Author ID: alessandrini.giovanni Published as: Alessandrini, G.; Alessandrini, Giovanni External Links: ORCID
 Documents Indexed: 102 Publications since 1980, including 1 Book
all top 5

#### Co-Authors

 25 single-authored 20 Rosset, Edi 14 Vessella, Sergio 12 Morassi, Antonino 12 Nesi, Vincenzo 8 Sincich, Eva 7 Gaburro, Romina 5 de Hoop, Maarten V. 5 Magnanini, Rolando 5 Rondi, Luca 4 Beretta, Elena 4 Di Cristo, Michele 3 Bilotta, Antonio 3 Turco, Emilio 2 Cabib, Elio 2 Formica, Giovanni 2 Isakov, Victor M. 1 Del Piere, L. 1 DiBenedetto, Emmanuele 1 Douglis, Avron 1 Escauriaza Zubiria, Luis 1 Fabes, Eugene B. 1 Faucher, Florian 1 Favaron, Alberto 1 Francini, Elisa 1 Garofalo, Nicola 1 Kim, Kyoungsun 1 Lupo, Daniela 1 Powell, Jeffrey O. 1 Santosa, Fadil N. 1 Scapin, Andrea 1 Seo, Jin Keun 1 Sigalotti, Mario 1 Sylvester, John Herbert 1 Uhlmann, Gunther Alberto 1 Valenzuela, Alvaro Diaz
all top 5

#### Serials

 8 Inverse Problems 7 SIAM Journal on Mathematical Analysis 5 Applicable Analysis 5 Journal of Inverse and Ill-Posed Problems 4 Archive for Rational Mechanics and Analysis 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Communications in Partial Differential Equations 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Proceedings of the American Mathematical Society 3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 3 Inverse Problems and Imaging 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Le Matematiche 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 2 Forum Mathematicum 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Contemporary Mathematics 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Proceedings A. Royal Society of London
all top 5

#### Fields

 94 Partial differential equations (35-XX) 19 Potential theory (31-XX) 18 Mechanics of deformable solids (74-XX) 13 Functions of a complex variable (30-XX) 10 Optics, electromagnetic theory (78-XX) 7 Numerical analysis (65-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 3 Differential geometry (53-XX) 3 Geophysics (86-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

93 Publications have been cited 1,254 times in 810 Documents Cited by Year
Stable determinations of conductivity by boundary measurements. Zbl 0616.35082
Alessandrini, Giovanni
1988
The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228
Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio
2009
Lipschitz stability for the inverse conductivity problem. Zbl 1095.35058
Alessandrini, Giovanni; Vessella, Sergio
2005
Singular solutions of elliptic equations and the determination of conductivity by boundary measurements. Zbl 0778.35109
Alessandrini, Giovanni
1990
Stable determination of corrosion by a single electrostatic boundary measurement. Zbl 1050.35134
Alessandrini, G.; Del Piere, L.; Rondi, L.
2003
Elliptic equations in divergence form, geometric critical points of solutions, and Stekloff eigenfunctions. Zbl 0809.35070
Alessandrini, G.; Magnanini, R.
1994
Stable determination of a crack from boundary measurements. Zbl 0802.35151
Alessandrini, Giovanni
1993
Optimal stability for inverse elliptic boundary value problems with unknown boundaries. Zbl 1034.35148
Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio
2000
Determining a sound-soft polyhedral scatterer by a single far-field measurement. Zbl 1061.35160
Alessandrini, Giovanni; Rondi, Luca
2005
Univalent $$\sigma$$-harmonic mappings. Zbl 0977.31006
Alessandrini, Giovanni; Nesi, Vincenzo
2001
An identification problem for an elliptic equation in two variables. Zbl 0662.35118
Alessandrini, Giovanni
1986
Critical points of solutions of elliptic equations in two variables. Zbl 0649.35026
Alessandrini, Giovanni
1987
Null-controllability of one-dimensional parabolic equations. Zbl 1145.35337
Alessandrini, Giovanni; Escauriaza, Luis
2008
Examples of instability in inverse boundary-value problems. Zbl 0882.35127
Alessandrini, Giovanni
1997
Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains. Zbl 0838.35006
Alessandrini, Giovanni
1994
Optimal size estimates for the inverse conductivity problem with one measurement. Zbl 0944.35108
Alessandrini, G.; Rosset, E.; Seo, J. K.
2000
Unique determination of multiple cracks by two measurements. Zbl 0864.35115
Alessandrini, Giovanni; Valenzuela, Alvaro Diaz
1996
The index of isolated critical points and solutions of elliptic equations in the plane. Zbl 0793.35021
Alessandrini, G.; Magnanini, R.
1992
The linear constraints in Poincaré and Korn type inequalities. Zbl 1151.26319
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2008
Detecting cavities by electrostatic boundary measurements. Zbl 1010.35117
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2002
Determining linear cracks by boundary measurements: Lipschitz stability. Zbl 0855.35124
Alessandrini, Giovanni; Beretta, Elena; Vessella, Sergio
1996
A symmetry theorem for condensers. Zbl 0756.35118
Alessandrini, Giovanni
1992
The inverse conductivity problem with one measurement: Bounds on the size of the unknown object. Zbl 0953.35141
Alessandrini, Giovanni; Rosset, Edi
1998
Geometric properties of solutions to the anisotropic $$p$$-Laplace equation in dimension two. Zbl 1002.35044
Sigalotti, M.; Alessandrini, G.
2001
Strong unique continuation for general elliptic equations in 2D. Zbl 1308.35079
Alessandrini, Giovanni
2012
Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040
Alessandrini, G.; DiBenedetto, E.
1997
Strong unique continuation for the Lamé system of elasticity. Zbl 1086.35016
Alessandrini, Giovanni; Morassi, Antonino
2001
Open issues of stability for the inverse conductivity problem. Zbl 1221.35443
Alessandrini, G.
2007
Detecting an inclusion in an elastic body by boundary measurements. Zbl 1011.35130
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2002
Optimal stability for the inverse problem of multiple cavities. Zbl 0988.35163
Alessandrini, Giovanni; Rondi, Luca
2001
Size estimates. Zbl 1060.35158
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2003
Stability for a multidimensional inverse spectral theorem. Zbl 0715.35080
Alessandrini, Giovanni; Sylvester, John
1990
Local behaviour of solutions to parabolic equations. Zbl 0649.35040
Alessandrini, Giovanni; Vessella, Sergio
1988
Invertible harmonic mappings, beyond Kneser. Zbl 1182.31002
Alessandrini, Giovanni; Nesi, Vincenzo
2009
Detecting an inclusion in an elastic body by boundary measurements. Zbl 1061.35159
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2004
Local uniqueness in the inverse conductivity problem with one measurement. Zbl 0864.35114
Alessandrini, G.; Isakov, V.; Powell, J.
1995
Beltrami operators, non-symmetric elliptic equations and quantitative Jacobian bounds. Zbl 1177.30019
Alessandrini, Giovanni; Nesi, Vincenzo
2009
Computing volume bounds of inclusions by EIT measurements. Zbl 1131.78006
Alessandrini, Giovanni; Bilotta, Antonio; Morassi, Antonino; Rosset, Edi; Turco, Emilio
2007
Detecting nonlinear corrosion by electrostatic measurements. Zbl 1092.35114
Alessandrini, G.; Sincich, E.
2006
Remark on the strong unique continuation property for parabolic operators. Zbl 1039.35025
Alessandrini, Giovanni; Vessella, Sergio
2004
Determining conductivity with special anisotropy by boundary measurements. Zbl 0985.35104
Alessandrini, Giovanni; Gaburro, Romina
2001
Stable determination of a crack in a planar inhomogeneous conductor. Zbl 0939.35195
Alessandrini, Giovanni; Rondi, Luca
1999
Analyticity and uniqueness for the inverse conductivity problem. Zbl 0887.35157
Alessandrini, Giovanni; Isakov, Victor
1996
Critical points of solutions to the p-Laplace equation in dimension two. Zbl 0634.35027
Alessandrini, Giovanni
1987
Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities. Zbl 1394.35573
Alessandrini, Giovanni; De Hoop, Maarten V.; Gaburro, Romina
2017
The local Calderón problem and the determination at the boundary of the conductivity. Zbl 1196.35227
Alessandrini, Giovanni; Gaburro, Romina
2009
On doubling inequalities for elliptic systems. Zbl 1167.35541
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi; Vessella, Sergio
2009
Solving elliptic Cauchy problems and the identification of nonlinear corrosion. Zbl 1099.74027
Alessandrini, Giovanni; Sincich, Eva
2007
Evaluating the volume of a hidden inclusion in an elastic body. Zbl 1099.74026
Alessandrini, G.; Bilotta, A.; Formica, G.; Morassi, A.; Rosset, E.; Turco, E.
2007
Stable determination of an inclusion by boundary measurements. Zbl 1099.35162
Alessandrini, G.; Di Cristo, M.
2005
On Courant’s nodal domain theorem. Zbl 0909.35098
Alessandrini, Giovanni
1998
Symmetry for degenerate parabolic equations. Zbl 0697.35074
Alessandrini, Giovanni; Garofalo, Nicola
1989
On the identification of the leading coefficient of an elliptic equation. Zbl 0598.35129
Alessandrini, Giovanni
1985
Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities. Zbl 1365.35223
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
2017
Numerical size estimates of inclusions in elastic bodies. Zbl 1080.35173
Alessandrini, Giovanni; Bilotta, Antonio; Formica, Giovanni; Morassi, Antonino; Rosset, Edi; Turco, Emilio
2005
Symmetry and non-symmetry for the overdetermined Stekloff eigenvalue problem. Zbl 0801.35017
Alessandrini, G.; Magnanini, R.
1994
Stability for quantitative photoacoustic tomographywith well-chosen illuminations. Zbl 1371.35337
Alessandrini, Giovanni; Di Cristo, Michele; Francini, Elisa; Vessella, Sergio
2017
Quantitative estimates on Jacobians for hybrid inverse problems. Zbl 1341.31005
Alessandrini, G.; Nesi, V.
2015
Stable determination of an inclusion in an elastic body by boundary measurements. Zbl 1301.35206
Alessandrini, Giovanni; Di Cristo, Michele; Morassi, Antonino; Rosset, Edi
2014
Single-logarithmic stability for the Calderón problem with local data. Zbl 1279.35097
Alessandrini, Giovanni; Kim, Kyoungsun
2012
Elliptic systems and material interpenetration. Zbl 1195.31002
Alessandrini, Giovanni; Nesi, Vincenzo
2009
Univalent $$\sigma$$-harmonic mappings: connections with quasiconformal mappings. Zbl 1173.30310
Alessandrini, Giovanni; Nesi, Vincenzo
2003
Matzoh ball soup: A symmetry result for the heat equation. Zbl 0711.35054
Alessandrini, Giovanni
1990
Volume bounds of inclusions from physical EIT measurements. Zbl 1073.35206
Alessandrini, Giovanni; Rosset, Edi
2004
The length of level lines of solutions of elliptic equations in the plane. Zbl 0664.35016
Alessandrini, Giovanni
1988
Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data. Zbl 1401.35284
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
2018
Univalent $$\sigma$$-harmonic mappings: Applications to composites. Zbl 1024.30010
Alessandrini, Giovanni; Nesi, Vincenzo
2002
Local behavior and geometric properties of solutions to degenerate quasilinear elliptic equations in the plane. Zbl 0791.35050
Alessandrini, Giovanni; Lupo, Daniela; Rosset, Edi
1993
Characterizing spheres by functional relations on solutions of elliptic and parabolic equations. Zbl 0668.35033
Alessandrini, Giovanni
1991
An approximate layering method for the Navier-Stokes equations in bounded cylinders. Zbl 0552.76030
Alessandrini, Giovanni; Douglis, Avron; Fabes, Eugene
1983
On differentiation of approximately given functions. Zbl 0447.65006
Alessandrini, Giovanni
1980
EIT in a layered anisotropic medium. Zbl 1395.35204
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
2018
Depth dependent resolution in electrical impedance tomography. Zbl 1432.35238
Alessandrini, Giovanni; Scapin, Andrea
2017
Cracks with impedance; stable determination from boundary data. Zbl 1294.35194
Alessandrini, Giovanni; Sincich, Eva
2013
EIT and the average conductivity. Zbl 1165.35054
Alessandrini, G.; Cabib, E.
2008
Symmetry of singular solutions of degenerate quasilinear elliptic equations. Zbl 1153.35043
Alessandrini, Giovanni; Rosset, Edi
2007
Global stability for an inverse problem in soil-structure interaction. Zbl 1371.74116
Alessandrini, G.; Morassi, A.; Rosset, E.; Vessella, S.
2015
Stable determination of surface impedance on a rough obstacle by far field data. Zbl 1267.35248
Alessandrini, Giovanni; Sincich, Eva; Vessella, Sergio
2013
Determining the anisotropic traction state in a membrane by boundary measurements. Zbl 1211.35096
Alessandrini, Giovanni; Cabib, Elio
2007
Inverse problems: theory and applications. INdAM workshop on inverse problems and applications, Cortona, Italy, June 3–9, 2002. Special session at AMS-UMI first joint international meeting on inverse boundary problems and applications, Pisa, Italy, June 12–16, 2002. Zbl 1027.00018
Alessandrini, Giovanni (ed.); Uhlmann, Gunther (ed.)
2003
Sharp stability estimates of harmonic continuation along lines. Zbl 0964.31003
Alessandrini, Giovanni; Favaron, Alberto
2000
Stability in crack determination from electrostatic measurements at the boundary – A numerical investigation. Zbl 0835.35150
Alessandrini, Giovanni; Beretta, Elena; Santosa, Fadil; Vessella, Sergio
1995
Stability for the crack determination problem. Zbl 0802.35152
Alessandrini, Giovanni
1993
Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane. Zbl 0712.35034
Alessandrini, Giovanni
1989
Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate’s equation with Dirichlet conditions. Zbl 1408.35033
Alessandrini, Giovanni; Rosset, Edi; Vessella, Sergio
2019
Estimates for the dilatation of $$\sigma$$-harmonic mappings. Zbl 1322.30006
Alessandrini, Giovanni; Nesi, Vincenzo
2014
Area formulas for $$\sigma$$-harmonic mappings. Zbl 1047.35038
Alessandrini, Giovanni; Nesi, Vincenzo
2002
Inverse boundary value problems with unknown boundaries: optimal stability. Zbl 1043.35143
Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio
2000
Generic uniqueness and size estimates in the inverse conductivity problem with one measurement. Zbl 0942.35060
Alessandrini, Giovanni
1999
Determining conductivity by boundary measurements, the stability issue. Zbl 0723.35082
Alessandrini, Giovanni
1991
Remark on a paper by Bellout and Friedman. Zbl 0840.35117
Alessandrini, Giovanni
1989
On elliptic equations with an axial symmetry. Zbl 0467.35043
Alessandrini, Giovanni
1981
An extrapolation problem for harmonic functions. Zbl 0451.31001
Alessandrini, Giovanni
1980
Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate’s equation with Dirichlet conditions. Zbl 1408.35033
Alessandrini, Giovanni; Rosset, Edi; Vessella, Sergio
2019
Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data. Zbl 1401.35284
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
2018
EIT in a layered anisotropic medium. Zbl 1395.35204
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
2018
Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities. Zbl 1394.35573
Alessandrini, Giovanni; De Hoop, Maarten V.; Gaburro, Romina
2017
Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities. Zbl 1365.35223
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
2017
Stability for quantitative photoacoustic tomographywith well-chosen illuminations. Zbl 1371.35337
Alessandrini, Giovanni; Di Cristo, Michele; Francini, Elisa; Vessella, Sergio
2017
Depth dependent resolution in electrical impedance tomography. Zbl 1432.35238
Alessandrini, Giovanni; Scapin, Andrea
2017
Quantitative estimates on Jacobians for hybrid inverse problems. Zbl 1341.31005
Alessandrini, G.; Nesi, V.
2015
Global stability for an inverse problem in soil-structure interaction. Zbl 1371.74116
Alessandrini, G.; Morassi, A.; Rosset, E.; Vessella, S.
2015
Stable determination of an inclusion in an elastic body by boundary measurements. Zbl 1301.35206
Alessandrini, Giovanni; Di Cristo, Michele; Morassi, Antonino; Rosset, Edi
2014
Estimates for the dilatation of $$\sigma$$-harmonic mappings. Zbl 1322.30006
Alessandrini, Giovanni; Nesi, Vincenzo
2014
Cracks with impedance; stable determination from boundary data. Zbl 1294.35194
Alessandrini, Giovanni; Sincich, Eva
2013
Stable determination of surface impedance on a rough obstacle by far field data. Zbl 1267.35248
Alessandrini, Giovanni; Sincich, Eva; Vessella, Sergio
2013
Strong unique continuation for general elliptic equations in 2D. Zbl 1308.35079
Alessandrini, Giovanni
2012
Single-logarithmic stability for the Calderón problem with local data. Zbl 1279.35097
Alessandrini, Giovanni; Kim, Kyoungsun
2012
The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228
Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio
2009
Invertible harmonic mappings, beyond Kneser. Zbl 1182.31002
Alessandrini, Giovanni; Nesi, Vincenzo
2009
Beltrami operators, non-symmetric elliptic equations and quantitative Jacobian bounds. Zbl 1177.30019
Alessandrini, Giovanni; Nesi, Vincenzo
2009
The local Calderón problem and the determination at the boundary of the conductivity. Zbl 1196.35227
Alessandrini, Giovanni; Gaburro, Romina
2009
On doubling inequalities for elliptic systems. Zbl 1167.35541
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi; Vessella, Sergio
2009
Elliptic systems and material interpenetration. Zbl 1195.31002
Alessandrini, Giovanni; Nesi, Vincenzo
2009
Null-controllability of one-dimensional parabolic equations. Zbl 1145.35337
Alessandrini, Giovanni; Escauriaza, Luis
2008
The linear constraints in Poincaré and Korn type inequalities. Zbl 1151.26319
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2008
EIT and the average conductivity. Zbl 1165.35054
Alessandrini, G.; Cabib, E.
2008
Open issues of stability for the inverse conductivity problem. Zbl 1221.35443
Alessandrini, G.
2007
Computing volume bounds of inclusions by EIT measurements. Zbl 1131.78006
Alessandrini, Giovanni; Bilotta, Antonio; Morassi, Antonino; Rosset, Edi; Turco, Emilio
2007
Solving elliptic Cauchy problems and the identification of nonlinear corrosion. Zbl 1099.74027
Alessandrini, Giovanni; Sincich, Eva
2007
Evaluating the volume of a hidden inclusion in an elastic body. Zbl 1099.74026
Alessandrini, G.; Bilotta, A.; Formica, G.; Morassi, A.; Rosset, E.; Turco, E.
2007
Symmetry of singular solutions of degenerate quasilinear elliptic equations. Zbl 1153.35043
Alessandrini, Giovanni; Rosset, Edi
2007
Determining the anisotropic traction state in a membrane by boundary measurements. Zbl 1211.35096
Alessandrini, Giovanni; Cabib, Elio
2007
Detecting nonlinear corrosion by electrostatic measurements. Zbl 1092.35114
Alessandrini, G.; Sincich, E.
2006
Lipschitz stability for the inverse conductivity problem. Zbl 1095.35058
Alessandrini, Giovanni; Vessella, Sergio
2005
Determining a sound-soft polyhedral scatterer by a single far-field measurement. Zbl 1061.35160
Alessandrini, Giovanni; Rondi, Luca
2005
Stable determination of an inclusion by boundary measurements. Zbl 1099.35162
Alessandrini, G.; Di Cristo, M.
2005
Numerical size estimates of inclusions in elastic bodies. Zbl 1080.35173
Alessandrini, Giovanni; Bilotta, Antonio; Formica, Giovanni; Morassi, Antonino; Rosset, Edi; Turco, Emilio
2005
Detecting an inclusion in an elastic body by boundary measurements. Zbl 1061.35159
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2004
Remark on the strong unique continuation property for parabolic operators. Zbl 1039.35025
Alessandrini, Giovanni; Vessella, Sergio
2004
Volume bounds of inclusions from physical EIT measurements. Zbl 1073.35206
Alessandrini, Giovanni; Rosset, Edi
2004
Stable determination of corrosion by a single electrostatic boundary measurement. Zbl 1050.35134
Alessandrini, G.; Del Piere, L.; Rondi, L.
2003
Size estimates. Zbl 1060.35158
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2003
Univalent $$\sigma$$-harmonic mappings: connections with quasiconformal mappings. Zbl 1173.30310
Alessandrini, Giovanni; Nesi, Vincenzo
2003
Inverse problems: theory and applications. INdAM workshop on inverse problems and applications, Cortona, Italy, June 3–9, 2002. Special session at AMS-UMI first joint international meeting on inverse boundary problems and applications, Pisa, Italy, June 12–16, 2002. Zbl 1027.00018
Alessandrini, Giovanni (ed.); Uhlmann, Gunther (ed.)
2003
Detecting cavities by electrostatic boundary measurements. Zbl 1010.35117
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2002
Detecting an inclusion in an elastic body by boundary measurements. Zbl 1011.35130
Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi
2002
Univalent $$\sigma$$-harmonic mappings: Applications to composites. Zbl 1024.30010
Alessandrini, Giovanni; Nesi, Vincenzo
2002
Area formulas for $$\sigma$$-harmonic mappings. Zbl 1047.35038
Alessandrini, Giovanni; Nesi, Vincenzo
2002
Univalent $$\sigma$$-harmonic mappings. Zbl 0977.31006
Alessandrini, Giovanni; Nesi, Vincenzo
2001
Geometric properties of solutions to the anisotropic $$p$$-Laplace equation in dimension two. Zbl 1002.35044
Sigalotti, M.; Alessandrini, G.
2001
Strong unique continuation for the Lamé system of elasticity. Zbl 1086.35016
Alessandrini, Giovanni; Morassi, Antonino
2001
Optimal stability for the inverse problem of multiple cavities. Zbl 0988.35163
Alessandrini, Giovanni; Rondi, Luca
2001
Determining conductivity with special anisotropy by boundary measurements. Zbl 0985.35104
Alessandrini, Giovanni; Gaburro, Romina
2001
Optimal stability for inverse elliptic boundary value problems with unknown boundaries. Zbl 1034.35148
Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio
2000
Optimal size estimates for the inverse conductivity problem with one measurement. Zbl 0944.35108
Alessandrini, G.; Rosset, E.; Seo, J. K.
2000
Sharp stability estimates of harmonic continuation along lines. Zbl 0964.31003
Alessandrini, Giovanni; Favaron, Alberto
2000
Inverse boundary value problems with unknown boundaries: optimal stability. Zbl 1043.35143
Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio
2000
Stable determination of a crack in a planar inhomogeneous conductor. Zbl 0939.35195
Alessandrini, Giovanni; Rondi, Luca
1999
Generic uniqueness and size estimates in the inverse conductivity problem with one measurement. Zbl 0942.35060
Alessandrini, Giovanni
1999
The inverse conductivity problem with one measurement: Bounds on the size of the unknown object. Zbl 0953.35141
Alessandrini, Giovanni; Rosset, Edi
1998
On Courant’s nodal domain theorem. Zbl 0909.35098
Alessandrini, Giovanni
1998
Examples of instability in inverse boundary-value problems. Zbl 0882.35127
Alessandrini, Giovanni
1997
Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040
Alessandrini, G.; DiBenedetto, E.
1997
Unique determination of multiple cracks by two measurements. Zbl 0864.35115
Alessandrini, Giovanni; Valenzuela, Alvaro Diaz
1996
Determining linear cracks by boundary measurements: Lipschitz stability. Zbl 0855.35124
Alessandrini, Giovanni; Beretta, Elena; Vessella, Sergio
1996
Analyticity and uniqueness for the inverse conductivity problem. Zbl 0887.35157
Alessandrini, Giovanni; Isakov, Victor
1996
Local uniqueness in the inverse conductivity problem with one measurement. Zbl 0864.35114
Alessandrini, G.; Isakov, V.; Powell, J.
1995
Stability in crack determination from electrostatic measurements at the boundary – A numerical investigation. Zbl 0835.35150
Alessandrini, Giovanni; Beretta, Elena; Santosa, Fadil; Vessella, Sergio
1995
Elliptic equations in divergence form, geometric critical points of solutions, and Stekloff eigenfunctions. Zbl 0809.35070
Alessandrini, G.; Magnanini, R.
1994
Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains. Zbl 0838.35006
Alessandrini, Giovanni
1994
Symmetry and non-symmetry for the overdetermined Stekloff eigenvalue problem. Zbl 0801.35017
Alessandrini, G.; Magnanini, R.
1994
Stable determination of a crack from boundary measurements. Zbl 0802.35151
Alessandrini, Giovanni
1993
Local behavior and geometric properties of solutions to degenerate quasilinear elliptic equations in the plane. Zbl 0791.35050
Alessandrini, Giovanni; Lupo, Daniela; Rosset, Edi
1993
Stability for the crack determination problem. Zbl 0802.35152
Alessandrini, Giovanni
1993
The index of isolated critical points and solutions of elliptic equations in the plane. Zbl 0793.35021
Alessandrini, G.; Magnanini, R.
1992
A symmetry theorem for condensers. Zbl 0756.35118
Alessandrini, Giovanni
1992
Characterizing spheres by functional relations on solutions of elliptic and parabolic equations. Zbl 0668.35033
Alessandrini, Giovanni
1991
Determining conductivity by boundary measurements, the stability issue. Zbl 0723.35082
Alessandrini, Giovanni
1991
Singular solutions of elliptic equations and the determination of conductivity by boundary measurements. Zbl 0778.35109
Alessandrini, Giovanni
1990
Stability for a multidimensional inverse spectral theorem. Zbl 0715.35080
Alessandrini, Giovanni; Sylvester, John
1990
Matzoh ball soup: A symmetry result for the heat equation. Zbl 0711.35054
Alessandrini, Giovanni
1990
Symmetry for degenerate parabolic equations. Zbl 0697.35074
Alessandrini, Giovanni; Garofalo, Nicola
1989
Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane. Zbl 0712.35034
Alessandrini, Giovanni
1989
Remark on a paper by Bellout and Friedman. Zbl 0840.35117
Alessandrini, Giovanni
1989
Stable determinations of conductivity by boundary measurements. Zbl 0616.35082
Alessandrini, Giovanni
1988
Local behaviour of solutions to parabolic equations. Zbl 0649.35040
Alessandrini, Giovanni; Vessella, Sergio
1988
The length of level lines of solutions of elliptic equations in the plane. Zbl 0664.35016
Alessandrini, Giovanni
1988
Critical points of solutions of elliptic equations in two variables. Zbl 0649.35026
Alessandrini, Giovanni
1987
Critical points of solutions to the p-Laplace equation in dimension two. Zbl 0634.35027
Alessandrini, Giovanni
1987
An identification problem for an elliptic equation in two variables. Zbl 0662.35118
Alessandrini, Giovanni
1986
On the identification of the leading coefficient of an elliptic equation. Zbl 0598.35129
Alessandrini, Giovanni
1985
An approximate layering method for the Navier-Stokes equations in bounded cylinders. Zbl 0552.76030
Alessandrini, Giovanni; Douglis, Avron; Fabes, Eugene
1983
On elliptic equations with an axial symmetry. Zbl 0467.35043
Alessandrini, Giovanni
1981
On differentiation of approximately given functions. Zbl 0447.65006
Alessandrini, Giovanni
1980
An extrapolation problem for harmonic functions. Zbl 0451.31001
Alessandrini, Giovanni
1980
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#### Cited by 894 Authors

 33 Alessandrini, Giovanni 30 Vessella, Sergio 17 Wang, Jenn-Nan 16 Choulli, Mourad 14 Beretta, Elena 14 Nakamura, Gen 14 Uhlmann, Gunther Alberto 14 Yamamoto, Masahiro 13 Rosset, Edi 12 Francini, Elisa 11 de Hoop, Maarten V. 11 Hu, Guanghui 11 Liu, Hongyu 11 Onninen, Jani 11 Santacesaria, Matteo 11 Sincich, Eva 10 Burman, Erik 10 Iwaniec, Tadeusz 10 Magnanini, Rolando 10 Nguyen, Hoai-Minh 10 Rondi, Luca 10 Wei, Ting 9 Turco, Emilio 8 Cheng, Jin 8 Di Cristo, Michele 8 Isakov, Victor M. 8 Lin, Ching-Lung 8 Morassi, Antonino 8 Triki, Faouzi 7 Harrach, Bastian 7 Knudsen, Kim M. 7 Milton, Graeme Walter 7 Nesi, Vincenzo 7 Peralta-Salas, Daniel 7 Salo, Mikko 7 Siltanen, Samuli 7 Sini, Mourad 7 Sun, Yao 6 Ammari, Habib M. 6 Briane, Marc 6 Enciso, Alberto 6 Fernández-Cara, Enrique 6 Fu, Chuli 6 Isaev, Mikhail Ismailovitch 6 Lesnic, Daniel 6 Ma, Fuming 6 Novikov, Roman G. 6 Oksanen, Lauri 6 Sakaguchi, Shigeru 6 Zhang, Deyue 5 Alberti, Giovanni S. 5 Bao, Gang 5 Bellassoued, Mourad 5 Bourgeois, Laurent 5 Capdeboscq, Yves 5 Caro, Pedro 5 Cârstea, Cătălin Ion 5 Cheng, Hao 5 Cheng, Xiaoliang 5 Elschner, Johannes 5 Gaburro, Romina 5 Garde, Henrik 5 Hoffmann-Ostenhof, Thomas 5 Hon, Yiu-Chung 5 Ikehata, Masaru 5 Kian, Yavar 5 Kress, Rainer 5 Kunisch, Karl 5 Kurylev, Yaroslav V. 5 Lai, Ru-Yu 5 Lassas, Matti 5 Leblond, Juliette 5 Lin, Yi-Hsuan 5 Liu, Hairong 5 Ruiz, Alberto 5 Soccorsi, Eric 5 Sumbatyan, Mezhlum A. 5 Xiong, Xiangtuan 4 Bal, Guillaume 4 Brown, Russell Murray 4 Davey, Blair 4 Deng, Haiyun 4 Feki, Imed 4 Feng, Xiaoli 4 Gavrilov, S. V. 4 Hoffmann-Ostenhof, Maria 4 Inglese, Gabriele 4 Kalaj, David 4 Kenig, Carlos Eduardo 4 Kovalev, Leonid V. 4 Le Rousseau, Jérôme H. 4 Lin, Tao 4 Meftahi, Houcine 4 Mera, Nicolae S. 4 Münch, Arnaud 4 Nguyen Huy Tuan 4 Ortega, Jaime H. 4 Päivärinta, Lassi 4 Rüland, Angkana 4 Seo, Jin Keun ...and 794 more Authors
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#### Cited in 191 Serials

 43 Journal of Differential Equations 36 Inverse Problems 35 Journal of Mathematical Analysis and Applications 29 Communications in Partial Differential Equations 27 Applicable Analysis 26 Journal of Inverse and Ill-Posed Problems 26 Inverse Problems and Imaging 20 SIAM Journal on Mathematical Analysis 19 Transactions of the American Mathematical Society 19 Inverse Problems in Science and Engineering 18 Archive for Rational Mechanics and Analysis 16 SIAM Journal on Applied Mathematics 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Mathematical Methods in the Applied Sciences 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Functional Analysis 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal d’Analyse Mathématique 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Journal of Computational and Applied Mathematics 10 Proceedings of the American Mathematical Society 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Applied Mathematics and Computation 9 Calculus of Variations and Partial Differential Equations 9 Engineering Analysis with Boundary Elements 8 Journal of Computational Physics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Computers & Mathematics with Applications 7 Mathematische Annalen 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Communications in Mathematical Physics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Duke Mathematical Journal 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal of Scientific Computing 6 Applied Mathematical Modelling 5 Revista Matemática Iberoamericana 5 Mathematical Control and Related Fields 4 Mathematics of Computation 4 Advances in Mathematics 4 International Journal for Numerical Methods in Engineering 4 Mathematics and Computers in Simulation 4 Numerical Functional Analysis and Optimization 4 Numerische Mathematik 4 Advances in Applied Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Multiscale Modeling & Simulation 4 SIAM Journal on Imaging Sciences 3 Computer Methods in Applied Mechanics and Engineering 3 Communications on Pure and Applied Mathematics 3 International Journal of Engineering Science 3 Applied Mathematics and Optimization 3 Mathematische Zeitschrift 3 SIAM Journal on Control and Optimization 3 Computational Mathematics and Mathematical Physics 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 Mathematics and Mechanics of Solids 3 Journal of the European Mathematical Society (JEMS) 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications on Pure and Applied Analysis 3 Milan Journal of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Reviews in Mathematical Physics 2 Annales de l’Institut Fourier 2 Czechoslovak Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Quarterly of Applied Mathematics 2 Systems & Control Letters 2 Acta Applicandae Mathematicae 2 Journal of Integral Equations and Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Computer Mathematics 2 Journal of Mathematical Imaging and Vision 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Analysis (München) 2 Nonlinear Analysis. Real World Applications 2 Advanced Nonlinear Studies 2 Computational Methods and Function Theory 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Complex Variables and Elliptic Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis & PDE 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 2 Forum of Mathematics, Sigma 2 East Asian Journal on Applied Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Research in the Mathematical Sciences 2 Electronic Research Archive 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society ...and 91 more Serials
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#### Cited in 43 Fields

 663 Partial differential equations (35-XX) 191 Numerical analysis (65-XX) 95 Optics, electromagnetic theory (78-XX) 90 Mechanics of deformable solids (74-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 47 Potential theory (31-XX) 41 Global analysis, analysis on manifolds (58-XX) 41 Fluid mechanics (76-XX) 39 Functions of a complex variable (30-XX) 38 Biology and other natural sciences (92-XX) 28 Systems theory; control (93-XX) 26 Operator theory (47-XX) 20 Ordinary differential equations (34-XX) 18 Information and communication theory, circuits (94-XX) 17 Integral equations (45-XX) 14 Differential geometry (53-XX) 12 Quantum theory (81-XX) 11 Functional analysis (46-XX) 11 Geophysics (86-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Integral transforms, operational calculus (44-XX) 8 Statistics (62-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Probability theory and stochastic processes (60-XX) 7 Operations research, mathematical programming (90-XX) 6 Approximations and expansions (41-XX) 6 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)