Edit Profile Alessandrini, Giovanni Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0616.35082Alessandrini, Giovanni 124 1988 The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio 92 2009 Lipschitz stability for the inverse conductivity problem. Zbl 1095.35058Alessandrini, Giovanni; Vessella, Sergio 49 2005 Singular solutions of elliptic equations and the determination of conductivity by boundary measurements. Zbl 0778.35109Alessandrini, Giovanni 47 1990 Stable determination of corrosion by a single electrostatic boundary measurement. Zbl 1050.35134Alessandrini, G.; Del Piere, L.; Rondi, L. 40 2003 Elliptic equations in divergence form, geometric critical points of solutions, and Stekloff eigenfunctions. Zbl 0809.35070Alessandrini, G.; Magnanini, R. 40 1994 Stable determination of a crack from boundary measurements. Zbl 0802.35151Alessandrini, Giovanni 40 1993 Optimal stability for inverse elliptic boundary value problems with unknown boundaries. Zbl 1034.35148Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio 35 2000 Determining a sound-soft polyhedral scatterer by a single far-field measurement. Zbl 1061.35160Alessandrini, Giovanni; Rondi, Luca 32 2005 Univalent \(\sigma\)-harmonic mappings. Zbl 0977.31006Alessandrini, Giovanni; Nesi, Vincenzo 28 2001 An identification problem for an elliptic equation in two variables. Zbl 0662.35118Alessandrini, Giovanni 28 1986 Critical points of solutions of elliptic equations in two variables. Zbl 0649.35026Alessandrini, Giovanni 26 1987 Null-controllability of one-dimensional parabolic equations. Zbl 1145.35337Alessandrini, Giovanni; Escauriaza, Luis 25 2008 Examples of instability in inverse boundary-value problems. Zbl 0882.35127Alessandrini, Giovanni 25 1997 Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains. Zbl 0838.35006Alessandrini, Giovanni 21 1994 Optimal size estimates for the inverse conductivity problem with one measurement. Zbl 0944.35108Alessandrini, G.; Rosset, E.; Seo, J. K. 20 2000 Unique determination of multiple cracks by two measurements. Zbl 0864.35115Alessandrini, Giovanni; Valenzuela, Alvaro Diaz 20 1996 The index of isolated critical points and solutions of elliptic equations in the plane. Zbl 0793.35021Alessandrini, G.; Magnanini, R. 20 1992 The linear constraints in Poincaré and Korn type inequalities. Zbl 1151.26319Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 19 2008 Detecting cavities by electrostatic boundary measurements. Zbl 1010.35117Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 19 2002 Determining linear cracks by boundary measurements: Lipschitz stability. Zbl 0855.35124Alessandrini, Giovanni; Beretta, Elena; Vessella, Sergio 19 1996 A symmetry theorem for condensers. Zbl 0756.35118Alessandrini, Giovanni 18 1992 The inverse conductivity problem with one measurement: Bounds on the size of the unknown object. Zbl 0953.35141Alessandrini, Giovanni; Rosset, Edi 17 1998 Geometric properties of solutions to the anisotropic \(p\)-Laplace equation in dimension two. Zbl 1002.35044Sigalotti, M.; Alessandrini, G. 16 2001 Strong unique continuation for general elliptic equations in 2D. Zbl 1308.35079Alessandrini, Giovanni 15 2012 Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040Alessandrini, G.; DiBenedetto, E. 15 1997 Strong unique continuation for the Lamé system of elasticity. Zbl 1086.35016Alessandrini, Giovanni; Morassi, Antonino 14 2001 Open issues of stability for the inverse conductivity problem. Zbl 1221.35443Alessandrini, G. 13 2007 Detecting an inclusion in an elastic body by boundary measurements. Zbl 1011.35130Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 13 2002 Optimal stability for the inverse problem of multiple cavities. Zbl 0988.35163Alessandrini, Giovanni; Rondi, Luca 13 2001 Size estimates. Zbl 1060.35158Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 12 2003 Stability for a multidimensional inverse spectral theorem. Zbl 0715.35080Alessandrini, Giovanni; Sylvester, John 12 1990 Local behaviour of solutions to parabolic equations. Zbl 0649.35040Alessandrini, Giovanni; Vessella, Sergio 12 1988 Invertible harmonic mappings, beyond Kneser. Zbl 1182.31002Alessandrini, Giovanni; Nesi, Vincenzo 11 2009 Detecting an inclusion in an elastic body by boundary measurements. Zbl 1061.35159Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 11 2004 Local uniqueness in the inverse conductivity problem with one measurement. Zbl 0864.35114Alessandrini, G.; Isakov, V.; Powell, J. 11 1995 Beltrami operators, non-symmetric elliptic equations and quantitative Jacobian bounds. Zbl 1177.30019Alessandrini, Giovanni; Nesi, Vincenzo 10 2009 Computing volume bounds of inclusions by EIT measurements. Zbl 1131.78006Alessandrini, Giovanni; Bilotta, Antonio; Morassi, Antonino; Rosset, Edi; Turco, Emilio 9 2007 Detecting nonlinear corrosion by electrostatic measurements. Zbl 1092.35114Alessandrini, G.; Sincich, E. 9 2006 Remark on the strong unique continuation property for parabolic operators. Zbl 1039.35025Alessandrini, Giovanni; Vessella, Sergio 9 2004 Determining conductivity with special anisotropy by boundary measurements. Zbl 0985.35104Alessandrini, Giovanni; Gaburro, Romina 9 2001 Stable determination of a crack in a planar inhomogeneous conductor. Zbl 0939.35195Alessandrini, Giovanni; Rondi, Luca 9 1999 Analyticity and uniqueness for the inverse conductivity problem. Zbl 0887.35157Alessandrini, Giovanni; Isakov, Victor 9 1996 Critical points of solutions to the p-Laplace equation in dimension two. Zbl 0634.35027Alessandrini, Giovanni 9 1987 Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities. Zbl 1394.35573Alessandrini, Giovanni; De Hoop, Maarten V.; Gaburro, Romina 8 2017 The local Calderón problem and the determination at the boundary of the conductivity. Zbl 1196.35227Alessandrini, Giovanni; Gaburro, Romina 8 2009 On doubling inequalities for elliptic systems. Zbl 1167.35541Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi; Vessella, Sergio 8 2009 Solving elliptic Cauchy problems and the identification of nonlinear corrosion. Zbl 1099.74027Alessandrini, Giovanni; Sincich, Eva 8 2007 Evaluating the volume of a hidden inclusion in an elastic body. Zbl 1099.74026Alessandrini, G.; Bilotta, A.; Formica, G.; Morassi, A.; Rosset, E.; Turco, E. 8 2007 Stable determination of an inclusion by boundary measurements. Zbl 1099.35162Alessandrini, G.; Di Cristo, M. 8 2005 On Courant’s nodal domain theorem. Zbl 0909.35098Alessandrini, Giovanni 8 1998 Symmetry for degenerate parabolic equations. Zbl 0697.35074Alessandrini, Giovanni; Garofalo, Nicola 8 1989 On the identification of the leading coefficient of an elliptic equation. Zbl 0598.35129Alessandrini, Giovanni 8 1985 Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities. Zbl 1365.35223Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva 7 2017 Numerical size estimates of inclusions in elastic bodies. Zbl 1080.35173Alessandrini, Giovanni; Bilotta, Antonio; Formica, Giovanni; Morassi, Antonino; Rosset, Edi; Turco, Emilio 7 2005 Symmetry and non-symmetry for the overdetermined Stekloff eigenvalue problem. Zbl 0801.35017Alessandrini, G.; Magnanini, R. 7 1994 Stability for quantitative photoacoustic tomographywith well-chosen illuminations. Zbl 1371.35337Alessandrini, Giovanni; Di Cristo, Michele; Francini, Elisa; Vessella, Sergio 6 2017 Quantitative estimates on Jacobians for hybrid inverse problems. Zbl 1341.31005Alessandrini, G.; Nesi, V. 6 2015 Stable determination of an inclusion in an elastic body by boundary measurements. Zbl 1301.35206Alessandrini, Giovanni; Di Cristo, Michele; Morassi, Antonino; Rosset, Edi 6 2014 Single-logarithmic stability for the Calderón problem with local data. Zbl 1279.35097Alessandrini, Giovanni; Kim, Kyoungsun 6 2012 Elliptic systems and material interpenetration. Zbl 1195.31002Alessandrini, Giovanni; Nesi, Vincenzo 6 2009 Univalent \(\sigma \)-harmonic mappings: connections with quasiconformal mappings. Zbl 1173.30310Alessandrini, Giovanni; Nesi, Vincenzo 6 2003 Matzoh ball soup: A symmetry result for the heat equation. Zbl 0711.35054Alessandrini, Giovanni 6 1990 Volume bounds of inclusions from physical EIT measurements. Zbl 1073.35206Alessandrini, Giovanni; Rosset, Edi 5 2004 The length of level lines of solutions of elliptic equations in the plane. Zbl 0664.35016Alessandrini, Giovanni 5 1988 Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data. Zbl 1401.35284Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva 4 2018 Univalent \(\sigma\)-harmonic mappings: Applications to composites. Zbl 1024.30010Alessandrini, Giovanni; Nesi, Vincenzo 4 2002 Local behavior and geometric properties of solutions to degenerate quasilinear elliptic equations in the plane. Zbl 0791.35050Alessandrini, Giovanni; Lupo, Daniela; Rosset, Edi 4 1993 Characterizing spheres by functional relations on solutions of elliptic and parabolic equations. Zbl 0668.35033Alessandrini, Giovanni 4 1991 An approximate layering method for the Navier-Stokes equations in bounded cylinders. Zbl 0552.76030Alessandrini, Giovanni; Douglis, Avron; Fabes, Eugene 4 1983 On differentiation of approximately given functions. Zbl 0447.65006Alessandrini, Giovanni 4 1980 EIT in a layered anisotropic medium. Zbl 1395.35204Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva 3 2018 Depth dependent resolution in electrical impedance tomography. Zbl 1432.35238Alessandrini, Giovanni; Scapin, Andrea 3 2017 Cracks with impedance; stable determination from boundary data. Zbl 1294.35194Alessandrini, Giovanni; Sincich, Eva 3 2013 EIT and the average conductivity. Zbl 1165.35054Alessandrini, G.; Cabib, E. 3 2008 Symmetry of singular solutions of degenerate quasilinear elliptic equations. Zbl 1153.35043Alessandrini, Giovanni; Rosset, Edi 3 2007 Global stability for an inverse problem in soil-structure interaction. Zbl 1371.74116Alessandrini, G.; Morassi, A.; Rosset, E.; Vessella, S. 2 2015 Stable determination of surface impedance on a rough obstacle by far field data. Zbl 1267.35248Alessandrini, Giovanni; Sincich, Eva; Vessella, Sergio 2 2013 Determining the anisotropic traction state in a membrane by boundary measurements. Zbl 1211.35096Alessandrini, Giovanni; Cabib, Elio 2 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 1027.00018Alessandrini, Giovanni (ed.); Uhlmann, Gunther (ed.) 2 2003 Sharp stability estimates of harmonic continuation along lines. Zbl 0964.31003Alessandrini, Giovanni; Favaron, Alberto 2 2000 Stability in crack determination from electrostatic measurements at the boundary – A numerical investigation. Zbl 0835.35150Alessandrini, Giovanni; Beretta, Elena; Santosa, Fadil; Vessella, Sergio 2 1995 Stability for the crack determination problem. Zbl 0802.35152Alessandrini, Giovanni 2 1993 Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane. Zbl 0712.35034Alessandrini, Giovanni 2 1989 Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate’s equation with Dirichlet conditions. Zbl 1408.35033Alessandrini, Giovanni; Rosset, Edi; Vessella, Sergio 1 2019 Estimates for the dilatation of \(\sigma\)-harmonic mappings. Zbl 1322.30006Alessandrini, Giovanni; Nesi, Vincenzo 1 2014 Area formulas for \(\sigma\)-harmonic mappings. Zbl 1047.35038Alessandrini, Giovanni; Nesi, Vincenzo 1 2002 Inverse boundary value problems with unknown boundaries: optimal stability. Zbl 1043.35143Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio 1 2000 Generic uniqueness and size estimates in the inverse conductivity problem with one measurement. Zbl 0942.35060Alessandrini, Giovanni 1 1999 Determining conductivity by boundary measurements, the stability issue. Zbl 0723.35082Alessandrini, Giovanni 1 1991 Remark on a paper by Bellout and Friedman. Zbl 0840.35117Alessandrini, Giovanni 1 1989 On elliptic equations with an axial symmetry. Zbl 0467.35043Alessandrini, Giovanni 1 1981 An extrapolation problem for harmonic functions. Zbl 0451.31001Alessandrini, Giovanni 1 1980 Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate’s equation with Dirichlet conditions. Zbl 1408.35033Alessandrini, Giovanni; Rosset, Edi; Vessella, Sergio 1 2019 Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data. Zbl 1401.35284Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva 4 2018 EIT in a layered anisotropic medium. Zbl 1395.35204Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva 3 2018 Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities. Zbl 1394.35573Alessandrini, Giovanni; De Hoop, Maarten V.; Gaburro, Romina 8 2017 Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities. Zbl 1365.35223Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva 7 2017 Stability for quantitative photoacoustic tomographywith well-chosen illuminations. Zbl 1371.35337Alessandrini, Giovanni; Di Cristo, Michele; Francini, Elisa; Vessella, Sergio 6 2017 Depth dependent resolution in electrical impedance tomography. Zbl 1432.35238Alessandrini, Giovanni; Scapin, Andrea 3 2017 Quantitative estimates on Jacobians for hybrid inverse problems. Zbl 1341.31005Alessandrini, G.; Nesi, V. 6 2015 Global stability for an inverse problem in soil-structure interaction. Zbl 1371.74116Alessandrini, G.; Morassi, A.; Rosset, E.; Vessella, S. 2 2015 Stable determination of an inclusion in an elastic body by boundary measurements. Zbl 1301.35206Alessandrini, Giovanni; Di Cristo, Michele; Morassi, Antonino; Rosset, Edi 6 2014 Estimates for the dilatation of \(\sigma\)-harmonic mappings. Zbl 1322.30006Alessandrini, Giovanni; Nesi, Vincenzo 1 2014 Cracks with impedance; stable determination from boundary data. Zbl 1294.35194Alessandrini, Giovanni; Sincich, Eva 3 2013 Stable determination of surface impedance on a rough obstacle by far field data. Zbl 1267.35248Alessandrini, Giovanni; Sincich, Eva; Vessella, Sergio 2 2013 Strong unique continuation for general elliptic equations in 2D. Zbl 1308.35079Alessandrini, Giovanni 15 2012 Single-logarithmic stability for the Calderón problem with local data. Zbl 1279.35097Alessandrini, Giovanni; Kim, Kyoungsun 6 2012 The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio 92 2009 Invertible harmonic mappings, beyond Kneser. Zbl 1182.31002Alessandrini, Giovanni; Nesi, Vincenzo 11 2009 Beltrami operators, non-symmetric elliptic equations and quantitative Jacobian bounds. Zbl 1177.30019Alessandrini, Giovanni; Nesi, Vincenzo 10 2009 The local Calderón problem and the determination at the boundary of the conductivity. Zbl 1196.35227Alessandrini, Giovanni; Gaburro, Romina 8 2009 On doubling inequalities for elliptic systems. Zbl 1167.35541Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi; Vessella, Sergio 8 2009 Elliptic systems and material interpenetration. Zbl 1195.31002Alessandrini, Giovanni; Nesi, Vincenzo 6 2009 Null-controllability of one-dimensional parabolic equations. Zbl 1145.35337Alessandrini, Giovanni; Escauriaza, Luis 25 2008 The linear constraints in Poincaré and Korn type inequalities. Zbl 1151.26319Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 19 2008 EIT and the average conductivity. Zbl 1165.35054Alessandrini, G.; Cabib, E. 3 2008 Open issues of stability for the inverse conductivity problem. Zbl 1221.35443Alessandrini, G. 13 2007 Computing volume bounds of inclusions by EIT measurements. Zbl 1131.78006Alessandrini, Giovanni; Bilotta, Antonio; Morassi, Antonino; Rosset, Edi; Turco, Emilio 9 2007 Solving elliptic Cauchy problems and the identification of nonlinear corrosion. Zbl 1099.74027Alessandrini, Giovanni; Sincich, Eva 8 2007 Evaluating the volume of a hidden inclusion in an elastic body. Zbl 1099.74026Alessandrini, G.; Bilotta, A.; Formica, G.; Morassi, A.; Rosset, E.; Turco, E. 8 2007 Symmetry of singular solutions of degenerate quasilinear elliptic equations. Zbl 1153.35043Alessandrini, Giovanni; Rosset, Edi 3 2007 Determining the anisotropic traction state in a membrane by boundary measurements. Zbl 1211.35096Alessandrini, Giovanni; Cabib, Elio 2 2007 Detecting nonlinear corrosion by electrostatic measurements. Zbl 1092.35114Alessandrini, G.; Sincich, E. 9 2006 Lipschitz stability for the inverse conductivity problem. Zbl 1095.35058Alessandrini, Giovanni; Vessella, Sergio 49 2005 Determining a sound-soft polyhedral scatterer by a single far-field measurement. Zbl 1061.35160Alessandrini, Giovanni; Rondi, Luca 32 2005 Stable determination of an inclusion by boundary measurements. Zbl 1099.35162Alessandrini, G.; Di Cristo, M. 8 2005 Numerical size estimates of inclusions in elastic bodies. Zbl 1080.35173Alessandrini, Giovanni; Bilotta, Antonio; Formica, Giovanni; Morassi, Antonino; Rosset, Edi; Turco, Emilio 7 2005 Detecting an inclusion in an elastic body by boundary measurements. Zbl 1061.35159Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 11 2004 Remark on the strong unique continuation property for parabolic operators. Zbl 1039.35025Alessandrini, Giovanni; Vessella, Sergio 9 2004 Volume bounds of inclusions from physical EIT measurements. Zbl 1073.35206Alessandrini, Giovanni; Rosset, Edi 5 2004 Stable determination of corrosion by a single electrostatic boundary measurement. Zbl 1050.35134Alessandrini, G.; Del Piere, L.; Rondi, L. 40 2003 Size estimates. Zbl 1060.35158Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 12 2003 Univalent \(\sigma \)-harmonic mappings: connections with quasiconformal mappings. Zbl 1173.30310Alessandrini, Giovanni; Nesi, Vincenzo 6 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 1027.00018Alessandrini, Giovanni (ed.); Uhlmann, Gunther (ed.) 2 2003 Detecting cavities by electrostatic boundary measurements. Zbl 1010.35117Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 19 2002 Detecting an inclusion in an elastic body by boundary measurements. Zbl 1011.35130Alessandrini, Giovanni; Morassi, Antonino; Rosset, Edi 13 2002 Univalent \(\sigma\)-harmonic mappings: Applications to composites. Zbl 1024.30010Alessandrini, Giovanni; Nesi, Vincenzo 4 2002 Area formulas for \(\sigma\)-harmonic mappings. Zbl 1047.35038Alessandrini, Giovanni; Nesi, Vincenzo 1 2002 Univalent \(\sigma\)-harmonic mappings. Zbl 0977.31006Alessandrini, Giovanni; Nesi, Vincenzo 28 2001 Geometric properties of solutions to the anisotropic \(p\)-Laplace equation in dimension two. Zbl 1002.35044Sigalotti, M.; Alessandrini, G. 16 2001 Strong unique continuation for the Lamé system of elasticity. Zbl 1086.35016Alessandrini, Giovanni; Morassi, Antonino 14 2001 Optimal stability for the inverse problem of multiple cavities. Zbl 0988.35163Alessandrini, Giovanni; Rondi, Luca 13 2001 Determining conductivity with special anisotropy by boundary measurements. Zbl 0985.35104Alessandrini, Giovanni; Gaburro, Romina 9 2001 Optimal stability for inverse elliptic boundary value problems with unknown boundaries. Zbl 1034.35148Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio 35 2000 Optimal size estimates for the inverse conductivity problem with one measurement. Zbl 0944.35108Alessandrini, G.; Rosset, E.; Seo, J. K. 20 2000 Sharp stability estimates of harmonic continuation along lines. Zbl 0964.31003Alessandrini, Giovanni; Favaron, Alberto 2 2000 Inverse boundary value problems with unknown boundaries: optimal stability. Zbl 1043.35143Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio 1 2000 Stable determination of a crack in a planar inhomogeneous conductor. Zbl 0939.35195Alessandrini, Giovanni; Rondi, Luca 9 1999 Generic uniqueness and size estimates in the inverse conductivity problem with one measurement. Zbl 0942.35060Alessandrini, Giovanni 1 1999 The inverse conductivity problem with one measurement: Bounds on the size of the unknown object. Zbl 0953.35141Alessandrini, Giovanni; Rosset, Edi 17 1998 On Courant’s nodal domain theorem. Zbl 0909.35098Alessandrini, Giovanni 8 1998 Examples of instability in inverse boundary-value problems. Zbl 0882.35127Alessandrini, Giovanni 25 1997 Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040Alessandrini, G.; DiBenedetto, E. 15 1997 Unique determination of multiple cracks by two measurements. Zbl 0864.35115Alessandrini, Giovanni; Valenzuela, Alvaro Diaz 20 1996 Determining linear cracks by boundary measurements: Lipschitz stability. Zbl 0855.35124Alessandrini, Giovanni; Beretta, Elena; Vessella, Sergio 19 1996 Analyticity and uniqueness for the inverse conductivity problem. Zbl 0887.35157Alessandrini, Giovanni; Isakov, Victor 9 1996 Local uniqueness in the inverse conductivity problem with one measurement. Zbl 0864.35114Alessandrini, G.; Isakov, V.; Powell, J. 11 1995 Stability in crack determination from electrostatic measurements at the boundary – A numerical investigation. Zbl 0835.35150Alessandrini, Giovanni; Beretta, Elena; Santosa, Fadil; Vessella, Sergio 2 1995 Elliptic equations in divergence form, geometric critical points of solutions, and Stekloff eigenfunctions. Zbl 0809.35070Alessandrini, G.; Magnanini, R. 40 1994 Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains. Zbl 0838.35006Alessandrini, Giovanni 21 1994 Symmetry and non-symmetry for the overdetermined Stekloff eigenvalue problem. Zbl 0801.35017Alessandrini, G.; Magnanini, R. 7 1994 Stable determination of a crack from boundary measurements. Zbl 0802.35151Alessandrini, Giovanni 40 1993 Local behavior and geometric properties of solutions to degenerate quasilinear elliptic equations in the plane. Zbl 0791.35050Alessandrini, Giovanni; Lupo, Daniela; Rosset, Edi 4 1993 Stability for the crack determination problem. Zbl 0802.35152Alessandrini, Giovanni 2 1993 The index of isolated critical points and solutions of elliptic equations in the plane. Zbl 0793.35021Alessandrini, G.; Magnanini, R. 20 1992 A symmetry theorem for condensers. Zbl 0756.35118Alessandrini, Giovanni 18 1992 Characterizing spheres by functional relations on solutions of elliptic and parabolic equations. Zbl 0668.35033Alessandrini, Giovanni 4 1991 Determining conductivity by boundary measurements, the stability issue. Zbl 0723.35082Alessandrini, Giovanni 1 1991 Singular solutions of elliptic equations and the determination of conductivity by boundary measurements. Zbl 0778.35109Alessandrini, Giovanni 47 1990 Stability for a multidimensional inverse spectral theorem. Zbl 0715.35080Alessandrini, Giovanni; Sylvester, John 12 1990 Matzoh ball soup: A symmetry result for the heat equation. Zbl 0711.35054Alessandrini, Giovanni 6 1990 Symmetry for degenerate parabolic equations. Zbl 0697.35074Alessandrini, Giovanni; Garofalo, Nicola 8 1989 Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane. Zbl 0712.35034Alessandrini, Giovanni 2 1989 Remark on a paper by Bellout and Friedman. Zbl 0840.35117Alessandrini, Giovanni 1 1989 Stable determinations of conductivity by boundary measurements. Zbl 0616.35082Alessandrini, Giovanni 124 1988 Local behaviour of solutions to parabolic equations. Zbl 0649.35040Alessandrini, Giovanni; Vessella, Sergio 12 1988 The length of level lines of solutions of elliptic equations in the plane. Zbl 0664.35016Alessandrini, Giovanni 5 1988 Critical points of solutions of elliptic equations in two variables. Zbl 0649.35026Alessandrini, Giovanni 26 1987 Critical points of solutions to the p-Laplace equation in dimension two. Zbl 0634.35027Alessandrini, Giovanni 9 1987 An identification problem for an elliptic equation in two variables. Zbl 0662.35118Alessandrini, Giovanni 28 1986 On the identification of the leading coefficient of an elliptic equation. Zbl 0598.35129Alessandrini, Giovanni 8 1985 An approximate layering method for the Navier-Stokes equations in bounded cylinders. Zbl 0552.76030Alessandrini, Giovanni; Douglis, Avron; Fabes, Eugene 4 1983 On elliptic equations with an axial symmetry. Zbl 0467.35043Alessandrini, Giovanni 1 1981 On differentiation of approximately given functions. Zbl 0447.65006Alessandrini, Giovanni 4 1980 An extrapolation problem for harmonic functions. Zbl 0451.31001Alessandrini, Giovanni 1 1980 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year