Edit Profile (opens in new tab) Savaré, Giuseppe Co-Author Distance Author ID: savare.giuseppe Published as: Savaré, Giuseppe; Savaré, G.; Savarè, Giuseppe more...less Homepage: http://www-dimat.unipv.it/savare/ External Links: ORCID · Google Scholar · dblp Documents Indexed: 109 Publications since 1991, including 3 Books and 7 Additional arXiv Preprints 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 61 Co-Authors with 96 Joint Publications 1,852 Co-Co-Authors all top 5 Co-Authors 15 single-authored 23 Ambrosio, Luigi 19 Rossi, Riccarda 14 Mielke, Alexander 11 Gigli, Nicola 6 Lisini, Stefano 6 Peletier, Mark Adriaan 6 Sodini, Giacomo Enrico 4 Cavagnari, Giulia 4 Colli Franzone, Piero 4 Gianazza, Ugo Pietro 4 Mondino, Andrea 3 Dolbeault, Jean 3 Fornasier, Massimo 3 Liero, Matthias 3 Matthes, Daniel 3 Nazaret, Bruno 3 Nochetto, Ricardo Horacio 3 Orrieri, Carlo 3 Stefanelli, Ulisse 3 Toscani, Giuseppe 3 Veneroni, Marco 2 Colli, Pierluigi 2 Daneri, Sara 2 Natile, Luca 2 Segatti, Antonio 2 Verdi, Claudio 1 Agostiniani, Virginia 1 Arnrich, Steffen 1 Bernardi, Marco Luigi 1 Brenier, Yann 1 Carrillo de la Plata, José Antonio 1 Dal Maso, Gianni 1 Di Marino, Simone 1 Erbar, Matthias 1 Fleißner, Florentine Catharina 1 Fornaro, Simona 1 Gangbo, Wilfrid 1 Gobbino, Massimo 1 Luise, Giulia 1 Mazzoleni, Dario 1 McCann, Robert J. 1 Minotti, Luca 1 Morandotti, Marco 1 Muratori, Matteo 1 Naldi, Emanuele 1 Otto, Felix 1 Pavarino, Luca Franco 1 Pennacchio, Micol 1 Porretta, Alessio 1 Pozzi, Gianni Arrigo 1 Rott, Eva-Maria 1 Schimperna, Giulio 1 Schlichting, André 1 Slepčev, Dejan 1 Toader, Rodica 1 Tomarelli, Franco 1 Tse, Oliver 1 Vespri, Vincenzo Riccardo 1 Visintin, Augusto 1 Westdickenberg, Michael 1 Zambotti, Lorenzo all top 5 Serials 6 SIAM Journal on Mathematical Analysis 5 Journal of Functional Analysis 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Archive for Rational Mechanics and Analysis 4 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Journal of Differential Equations 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Communications on Pure and Applied Mathematics 2 Inventiones Mathematicae 2 Probability Theory and Related Fields 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Serie V. Memorie di Matemàtica 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 1 IEEE Transactions on Information Theory 1 Advances in Mathematics 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Calcolo 1 Duke Mathematical Journal 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Revista Matemática Iberoamericana 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 SIAM Review 1 Advances in Mathematical Sciences and Applications 1 Journal of Convex Analysis 1 European Mathematical Society Newsletter 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Interfaces and Free Boundaries 1 Milan Journal of Mathematics 1 Communications in Mathematical Sciences 1 Lecture Notes in Mathematics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Journal of Physics. Conference Series 1 Mathematics in Engineering all top 5 Fields 59 Partial differential equations (35-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 23 Operator theory (47-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Measure and integration (28-XX) 15 Ordinary differential equations (34-XX) 13 Probability theory and stochastic processes (60-XX) 11 Functional analysis (46-XX) 10 Differential geometry (53-XX) 10 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Functions of a complex variable (30-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Potential theory (31-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 4,807 times in 2,698 Documents Cited by ▼ Year ▼ Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 912 2008 Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 562 2005 Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 296 2014 Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 249 2014 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 149 2015 Regularity results for elliptic equations in Lipschitz domains. Zbl 0889.35018 Savaré, Giuseppe 116 1998 Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 115 2013 Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows. Zbl 1398.53044 Gigli, Nicola; Mondino, Andrea; Savaré, Giuseppe 112 2015 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131 Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 98 2009 A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Zbl 1021.65047 Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio 90 2000 A new class of transport distances between measures. Zbl 1157.49042 Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe 88 2009 Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces. Zbl 1275.49087 Savaré, Giuseppe 86 2014 Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003 Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 86 2019 The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264 Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe 84 2009 Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089 Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe 80 2018 BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 74 2012 Eulerian calculus for the displacement convexity in the Wasserstein distance. Zbl 1166.58011 Daneri, Sara; Savaré, Giuseppe 68 2008 Degenerate evolution systems modeling the cardiac electric field at micro- and macroscopic level. Zbl 1036.35087 Colli Franzone, Piero; Savaré, Giuseppe 68 2002 Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105 Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo 57 2009 Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces. Zbl 1150.46014 Savaré, Giuseppe; Rossi, Riccarda 57 2003 Regularity and perturbation results for mixed second order elliptic problems. Zbl 0881.35020 Savaré, Giuseppe 57 1997 Multiscale modeling for the bioelectric activity of the heart. Zbl 1113.35019 Pennacchio, Micol; Savaré, Giuseppe; Colli Franzone, Piero 55 2006 On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. Zbl 1335.35088 Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 55 2016 Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 54 2009 Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078 Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe 53 2016 Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 50 2013 Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048 Rossi, Riccarda; Savaré, Giuseppe 47 2006 Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 45 2016 Nonlinear mobility continuity equations and generalized displacement convexity. Zbl 1225.49043 Carrillo, J. A.; Lisini, S.; Savaré, G.; Slepčev, D. 44 2010 Sticky particle dynamics with interactions. Zbl 1282.35236 Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M. 42 2013 A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164 Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe 39 2008 A Wasserstein approach to the one-dimensional sticky particle system. Zbl 1203.35170 Natile, Luca; Savaré, Giuseppe 38 2009 Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics. Zbl 1248.35095 Lisini, Stefano; Matthes, Daniel; Savaré, Giuseppe 37 2012 Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds. Zbl 1125.53064 Savaré, Giuseppe 32 2007 Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055 Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 32 2012 Parabolic problems with mixed variable lateral conditions: an abstract approach. Zbl 0890.35061 Savaré, Giuseppe 28 1997 Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302 Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G. 28 2019 Gradient flows of probability measures. Zbl 1203.35002 Ambrosio, Luigi; Savaré, Giuseppe 23 2007 Lecture notes on gradient flows and optimal transport. Zbl 1333.49001 Daneri, Sara; Savaré, Giuseppe 23 2014 Computational electrocardiology: mathematical and numerical modeling. Zbl 1387.92056 Franzone, P. Colli; Pavarino, L. F.; Savaré, G. 22 2006 On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005 Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe 22 2015 A variational approach to the mean field planning problem. Zbl 1423.49044 Orrieri, Carlo; Porretta, Alessio; Savaré, Giuseppe 22 2019 Weak solutions and maximal regularity for abstract evolution inequalities. Zbl 0858.35073 Savaré, Giuseppe 21 1996 The asymptotic profile of solutions of a class of doubly nonlinear equations. Zbl 0821.35081 Savaré, Giuseppe; Vespri, Vincenzo 21 1994 The concavity of Rényi entropy power. Zbl 1360.94169 Savaré, Giuseppe; Toscani, Giuseppe 21 2014 Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 18 2013 Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075 Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe 17 2016 Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 17 2012 Variational convergence of nonlinear diffusion equations: Applications to concentrated capacity problems with change of phase. Zbl 0888.35139 Savaré, Giuseppe; Visintín, Augusto 16 1997 On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Zbl 1149.35330 Dolbeault, J.; Nazaret, B.; Savaré, G. 16 2008 Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications. Zbl 1098.65092 Nochetto, Ricardo H.; Savaré, Giuseppe 15 2006 \(A(\Theta)\)-stable approximation of abstract Cauchy problems. Zbl 0791.65077 Savaré, Giuseppe 15 1993 Gradient flows and evolution variational inequalities in metric spaces. I: structural properties. Zbl 1448.49015 Muratori, Matteo; Savaré, Giuseppe 15 2020 From diffusion to reaction via \(\Gamma\)-convergence. Zbl 1221.35045 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 14 2010 Global existence results for viscoplasticity at finite strain. Zbl 1387.35574 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 14 2018 Stability of flows associated to gradient vector fields and convergence of iterated transport maps. Zbl 1099.49027 Ambrosio, Luigi; Lisini, Stefano; Savaré, Giuseppe 14 2006 Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312 Savaré, Giuseppe; Schimperna, Giulio 14 2002 Jump processes as generalized gradient flows. Zbl 1490.60022 Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver 14 2022 On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model. Zbl 0967.49009 Ambrosio, Luigi; Colli Franzone, Piero; Savaré, Giuseppe 13 2000 Abstract evolution equations on variable domains: An approach by minimizing movements. Zbl 0864.35048 Gianazza, Ugo; Savaré, Giuseppe 13 1996 Error control of nonlinear evolution equations. Zbl 0944.65077 Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio 12 1998 A variational principle for gradient flows in metric spaces. Zbl 1236.49065 Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse 12 2011 Spatially inhomogeneous evolutionary games. Zbl 1470.91038 Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe 12 2021 Superposition and chain rule for bounded Hessian functions. Zbl 0919.49001 Savaré, Giuseppe; Tomarelli, Franco 11 1998 Gradient flows with metric and differentiable structures, and applications to the Wasserstein space. Zbl 1162.35349 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 11 2004 Chemical reactions as \(\Gamma\)-limit of diffusion. Zbl 1252.35037 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 10 2012 Some results on minimizing movements. Zbl 0862.49016 Gianazza, Ugo; Savaré, Giuseppe 10 1994 Variational equations of Schroedinger-type in non-cylindrical domains. Zbl 0981.35058 Bernardi, Marco Luigi; Pozzi, Gianni Arrigo; Savaré, Giuseppe 10 2001 On the regularity of the positive part of functions. Zbl 0871.47040 Savaré, Giuseppe 10 1996 Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and gamma-convergence. Zbl 1492.49038 Cavagnari, Giulia; Lisini, Stefano; Orrieri, Carlo; Savaré, Giuseppe 10 2022 Weighted energy-dissipation principle for gradient flows in metric spaces. Zbl 1423.35007 Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse 10 2019 Viscous corrections of the time incremental minimization scheme and visco-energetic solutions to rate-independent evolution problems. Zbl 1387.74019 Minotti, Luca; Savaré, Giuseppe 9 2018 From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. Zbl 1264.26011 Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe 9 2012 A characterization of energetic and \(BV\) solutions to one-dimensional rate-independent systems. Zbl 1270.34027 Rossi, Riccarda; Savaré, Giuseppe 9 2013 Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts. Zbl 1206.35236 Natile, Luca; Peletier, Mark A.; Savaré, Giuseppe 8 2011 Balanced-viscosity solutions for multi-rate systems. Zbl 1465.70060 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 8 2016 Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1288.58016 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 8 2012 Evolution problems and minimizing movements. Zbl 0835.49021 Gianazza, Ugo; Gobbino, Massimo; Savarè, Giuseppe 6 1994 Singular perturbation and interpolation. Zbl 0818.47009 Baiocchi, C.; Savaré, G. 5 1994 Existence and approximation results for gradient flows. Zbl 1162.34343 Rossi, Riccarda; Savaré, Giuseppe 5 2004 Approximation and regularity of evolution variational inequalities. Zbl 0836.35082 Savaré, G. 4 1993 Time discretization of Stefan problems with singular heat flux. Zbl 0864.35124 Colli, P.; Savaré, G. 4 1996 Sobolev spaces in extended metric-measure spaces. Zbl 07747990 Savaré, Giuseppe 4 2022 Contraction and regularizing properties of heat flows in metric measure spaces. Zbl 1459.49030 Luise, Giulia; Savaré, Giuseppe 4 2021 Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100 Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe 3 2012 From visco-energetic to energetic and balanced viscosity solutions of rate-independent systems. Zbl 1384.49039 Rossi, Riccarda; Savaré, Giuseppe 3 2017 Compactness properties for families of quasistationary solutions of some evolution equations. Zbl 1008.47065 Savaré, Giuseppe 3 2002 Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 3 2017 Reverse approximation of gradient flows as minimizing movements: a conjecture by De Giorgi. Zbl 1460.49022 Fleissner, Florentine; Savaré, Giuseppe 3 2020 On the transversality conditions and their genericity. Zbl 1322.58009 Agostiniani, Virginia; Rossi, Riccarda; Savaré, Giuseppe 2 2015 Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces. Zbl 1512.35696 Cavagnari, Giulia; Savaré, Giuseppe; Sodini, Giacomo Enrico 2 2023 Error estimates for dissipative evolution problems. Zbl 1054.65101 Savaré, Giuseppe 1 2003 A \(\Theta\)-stable discretization of abstract differential equations. Zbl 0762.65053 Savaré, G. 1 1991 \( L^2 \)-gradient flows of spectral functionals. Zbl 07700771 Mazzoleni, Dario; Savaré, Giuseppe 1 2023 Duality properties of metric Sobolev spaces and capacity. Zbl 1504.46048 Ambrosio, Luigi; Savaré, Giuseppe 1 2021 Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces. Zbl 1512.35696 Cavagnari, Giulia; Savaré, Giuseppe; Sodini, Giacomo Enrico 2 2023 \( L^2 \)-gradient flows of spectral functionals. Zbl 07700771 Mazzoleni, Dario; Savaré, Giuseppe 1 2023 Jump processes as generalized gradient flows. Zbl 1490.60022 Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver 14 2022 Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and gamma-convergence. Zbl 1492.49038 Cavagnari, Giulia; Lisini, Stefano; Orrieri, Carlo; Savaré, Giuseppe 10 2022 Sobolev spaces in extended metric-measure spaces. Zbl 07747990 Savaré, Giuseppe 4 2022 Spatially inhomogeneous evolutionary games. Zbl 1470.91038 Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe 12 2021 Contraction and regularizing properties of heat flows in metric measure spaces. Zbl 1459.49030 Luise, Giulia; Savaré, Giuseppe 4 2021 Duality properties of metric Sobolev spaces and capacity. Zbl 1504.46048 Ambrosio, Luigi; Savaré, Giuseppe 1 2021 Gradient flows and evolution variational inequalities in metric spaces. I: structural properties. Zbl 1448.49015 Muratori, Matteo; Savaré, Giuseppe 15 2020 Reverse approximation of gradient flows as minimizing movements: a conjecture by De Giorgi. Zbl 1460.49022 Fleissner, Florentine; Savaré, Giuseppe 3 2020 Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003 Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 86 2019 Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302 Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G. 28 2019 A variational approach to the mean field planning problem. Zbl 1423.49044 Orrieri, Carlo; Porretta, Alessio; Savaré, Giuseppe 22 2019 Weighted energy-dissipation principle for gradient flows in metric spaces. Zbl 1423.35007 Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse 10 2019 Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089 Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe 80 2018 Global existence results for viscoplasticity at finite strain. Zbl 1387.35574 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 14 2018 Viscous corrections of the time incremental minimization scheme and visco-energetic solutions to rate-independent evolution problems. Zbl 1387.74019 Minotti, Luca; Savaré, Giuseppe 9 2018 From visco-energetic to energetic and balanced viscosity solutions of rate-independent systems. Zbl 1384.49039 Rossi, Riccarda; Savaré, Giuseppe 3 2017 Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 3 2017 On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. Zbl 1335.35088 Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 55 2016 Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078 Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe 53 2016 Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 45 2016 Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075 Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe 17 2016 Balanced-viscosity solutions for multi-rate systems. Zbl 1465.70060 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 8 2016 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 149 2015 Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows. Zbl 1398.53044 Gigli, Nicola; Mondino, Andrea; Savaré, Giuseppe 112 2015 On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005 Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe 22 2015 On the transversality conditions and their genericity. Zbl 1322.58009 Agostiniani, Virginia; Rossi, Riccarda; Savaré, Giuseppe 2 2015 Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 296 2014 Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 249 2014 Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces. Zbl 1275.49087 Savaré, Giuseppe 86 2014 Lecture notes on gradient flows and optimal transport. Zbl 1333.49001 Daneri, Sara; Savaré, Giuseppe 23 2014 The concavity of Rényi entropy power. Zbl 1360.94169 Savaré, Giuseppe; Toscani, Giuseppe 21 2014 Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 115 2013 Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 50 2013 Sticky particle dynamics with interactions. Zbl 1282.35236 Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M. 42 2013 Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 18 2013 A characterization of energetic and \(BV\) solutions to one-dimensional rate-independent systems. Zbl 1270.34027 Rossi, Riccarda; Savaré, Giuseppe 9 2013 BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 74 2012 Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics. Zbl 1248.35095 Lisini, Stefano; Matthes, Daniel; Savaré, Giuseppe 37 2012 Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055 Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 32 2012 Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 17 2012 Chemical reactions as \(\Gamma\)-limit of diffusion. Zbl 1252.35037 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 10 2012 From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. Zbl 1264.26011 Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe 9 2012 Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1288.58016 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 8 2012 Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100 Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe 3 2012 A variational principle for gradient flows in metric spaces. Zbl 1236.49065 Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse 12 2011 Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts. Zbl 1206.35236 Natile, Luca; Peletier, Mark A.; Savaré, Giuseppe 8 2011 Nonlinear mobility continuity equations and generalized displacement convexity. Zbl 1225.49043 Carrillo, J. A.; Lisini, S.; Savaré, G.; Slepčev, D. 44 2010 From diffusion to reaction via \(\Gamma\)-convergence. Zbl 1221.35045 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 14 2010 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131 Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 98 2009 A new class of transport distances between measures. Zbl 1157.49042 Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe 88 2009 The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264 Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe 84 2009 Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105 Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo 57 2009 Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036 Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe 54 2009 A Wasserstein approach to the one-dimensional sticky particle system. Zbl 1203.35170 Natile, Luca; Savaré, Giuseppe 38 2009 Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 912 2008 Eulerian calculus for the displacement convexity in the Wasserstein distance. Zbl 1166.58011 Daneri, Sara; Savaré, Giuseppe 68 2008 A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164 Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe 39 2008 On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Zbl 1149.35330 Dolbeault, J.; Nazaret, B.; Savaré, G. 16 2008 Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds. Zbl 1125.53064 Savaré, Giuseppe 32 2007 Gradient flows of probability measures. Zbl 1203.35002 Ambrosio, Luigi; Savaré, Giuseppe 23 2007 Multiscale modeling for the bioelectric activity of the heart. Zbl 1113.35019 Pennacchio, Micol; Savaré, Giuseppe; Colli Franzone, Piero 55 2006 Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048 Rossi, Riccarda; Savaré, Giuseppe 47 2006 Computational electrocardiology: mathematical and numerical modeling. Zbl 1387.92056 Franzone, P. Colli; Pavarino, L. F.; Savaré, G. 22 2006 Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications. Zbl 1098.65092 Nochetto, Ricardo H.; Savaré, Giuseppe 15 2006 Stability of flows associated to gradient vector fields and convergence of iterated transport maps. Zbl 1099.49027 Ambrosio, Luigi; Lisini, Stefano; Savaré, Giuseppe 14 2006 Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 562 2005 Gradient flows with metric and differentiable structures, and applications to the Wasserstein space. Zbl 1162.35349 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 11 2004 Existence and approximation results for gradient flows. Zbl 1162.34343 Rossi, Riccarda; Savaré, Giuseppe 5 2004 Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces. Zbl 1150.46014 Savaré, Giuseppe; Rossi, Riccarda 57 2003 Error estimates for dissipative evolution problems. Zbl 1054.65101 Savaré, Giuseppe 1 2003 Degenerate evolution systems modeling the cardiac electric field at micro- and macroscopic level. Zbl 1036.35087 Colli Franzone, Piero; Savaré, Giuseppe 68 2002 Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312 Savaré, Giuseppe; Schimperna, Giulio 14 2002 Compactness properties for families of quasistationary solutions of some evolution equations. Zbl 1008.47065 Savaré, Giuseppe 3 2002 Variational equations of Schroedinger-type in non-cylindrical domains. Zbl 0981.35058 Bernardi, Marco Luigi; Pozzi, Gianni Arrigo; Savaré, Giuseppe 10 2001 A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Zbl 1021.65047 Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio 90 2000 On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model. Zbl 0967.49009 Ambrosio, Luigi; Colli Franzone, Piero; Savaré, Giuseppe 13 2000 Regularity results for elliptic equations in Lipschitz domains. Zbl 0889.35018 Savaré, Giuseppe 116 1998 Error control of nonlinear evolution equations. Zbl 0944.65077 Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio 12 1998 Superposition and chain rule for bounded Hessian functions. Zbl 0919.49001 Savaré, Giuseppe; Tomarelli, Franco 11 1998 Regularity and perturbation results for mixed second order elliptic problems. Zbl 0881.35020 Savaré, Giuseppe 57 1997 Parabolic problems with mixed variable lateral conditions: an abstract approach. Zbl 0890.35061 Savaré, Giuseppe 28 1997 Variational convergence of nonlinear diffusion equations: Applications to concentrated capacity problems with change of phase. Zbl 0888.35139 Savaré, Giuseppe; Visintín, Augusto 16 1997 Weak solutions and maximal regularity for abstract evolution inequalities. Zbl 0858.35073 Savaré, Giuseppe 21 1996 Abstract evolution equations on variable domains: An approach by minimizing movements. Zbl 0864.35048 Gianazza, Ugo; Savaré, Giuseppe 13 1996 On the regularity of the positive part of functions. Zbl 0871.47040 Savaré, Giuseppe 10 1996 Time discretization of Stefan problems with singular heat flux. Zbl 0864.35124 Colli, P.; Savaré, G. 4 1996 The asymptotic profile of solutions of a class of doubly nonlinear equations. Zbl 0821.35081 Savaré, Giuseppe; Vespri, Vincenzo 21 1994 Some results on minimizing movements. Zbl 0862.49016 Gianazza, Ugo; Savaré, Giuseppe 10 1994 Evolution problems and minimizing movements. Zbl 0835.49021 Gianazza, Ugo; Gobbino, Massimo; Savarè, Giuseppe 6 1994 Singular perturbation and interpolation. Zbl 0818.47009 Baiocchi, C.; Savaré, G. 5 1994 \(A(\Theta)\)-stable approximation of abstract Cauchy problems. Zbl 0791.65077 Savaré, Giuseppe 15 1993 Approximation and regularity of evolution variational inequalities. Zbl 0836.35082 Savaré, G. 4 1993 A \(\Theta\)-stable discretization of abstract differential equations. Zbl 0762.65053 Savaré, G. 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 2,780 Authors 68 Carrillo de la Plata, José Antonio 59 Savaré, Giuseppe 49 Gigli, Nicola 41 Ambrosio, Luigi 33 Mielke, Alexander 32 Rossi, Riccarda 31 Peletier, Mark Adriaan 29 Mondino, Andrea 29 Santambrogio, Filippo 28 Stefanelli, Ulisse 26 Sturm, Karl-Theodor 23 Matthes, Daniel 22 Li, Wuchen 21 Nochetto, Ricardo Horacio 21 Pasqualetto, Enrico 19 Gangbo, Wilfrid 19 Honda, Shouhei 18 Figalli, Alessio 17 Cardaliaguet, Pierre 17 Di Francesco, Marco 17 Hynd, Ryan 17 Marigonda, Antonio 17 Slepčev, Dejan 16 Cavalletti, Fabio 16 Quarteroni, Alfio M. 15 Bendahmane, Mostafa 15 Dolbeault, Jean 15 Erbar, Matthias 15 Maas, Jan 15 Ohta, Shin-ichi 14 Carlier, Guillaume 14 Dede’, Luca 14 Fagioli, Simone 14 Fetecau, Razvan C. 14 McCann, Robert J. 14 Monsaingeon, Léonard 14 Solombrino, Francesco 13 Akagi, Goro 13 Burger, Martin 13 Choi, Young-Pil 13 Gentil, Ivan 13 Han, Bangxian 13 Jüngel, Ansgar 13 Ketterer, Christian 13 Kim, Hwa Kil 13 Lisini, Stefano 13 Scacchi, Simone 13 Schmitzer, Bernhard 13 Semola, Daniele 12 Cavagnari, Giulia 12 Di Marino, Simone 12 Pavarino, Luca Franco 12 Rajala, Tapio 12 Vorotnikov, Dmitry A. 11 Akrivis, Georgios D. 11 Bruè, Elia 11 Cancès, Clément 11 Craig, Katy 11 Duong, Manh Hong 11 Knees, Dorothee 11 Liero, Matthias 11 Mészáros, Alpár Richárd 11 Piccoli, Benedetto 11 Schlichting, André 11 Segatti, Antonio 11 Shanmugalingam, Nageswari 11 Zinsl, Jonathan 10 Bogachev, Vladimir Igorevich 10 Braides, Andrea 10 Brenier, Yann 10 Laux, Tim 10 Liu, Jianguo 10 Patacchini, Francesco Saverio 10 Peyré, Gabriel 10 Quincampoix, Marc 10 Renger, D. R. Michiel 10 Röckner, Michael 10 Roubíček, Tomáš 10 Shaposhnikov, Stanislav V. 10 Trevisan, Dario 10 Westdickenberg, Michael 9 Averboukh, Yuriĭ Vladimirovich 9 Bessi, Ugo 9 Carlen, Eric Anders 9 Conforti, Giovanni 9 Crismale, Vito 9 Fornasier, Massimo 9 Gallouët, Thomas O. 9 Gwiazda, Piotr 9 Kapovitch, Vitali 9 Laurençot, Philippe 9 Makridakis, Charalambos G. 9 Osher, Stanley Joel 9 Tamanini, Luca 8 Agranovich, Mikhail Semënovich 8 Almi, Stefano 8 Blanchet, Adrien 8 Bögelein, Verena 8 Colli Franzone, Piero 8 Delgadino, Matias Gonzalo ...and 2,680 more Authors all top 5 Cited in 380 Serials 133 Calculus of Variations and Partial Differential Equations 95 SIAM Journal on Mathematical Analysis 90 Journal of Functional Analysis 87 Archive for Rational Mechanics and Analysis 82 Journal of Differential Equations 79 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 55 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 53 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 46 Journal of Mathematical Analysis and Applications 40 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Discrete and Continuous Dynamical Systems 31 The Journal of Geometric Analysis 31 Potential Analysis 28 Mathematics of Computation 28 Communications in Partial Differential Equations 27 NoDEA. Nonlinear Differential Equations and Applications 26 Journal of Computational Physics 26 Applied Mathematics and Optimization 25 SIAM Journal on Numerical Analysis 24 Transactions of the American Mathematical Society 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 Computer Methods in Applied Mechanics and Engineering 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Nonlinear Analysis. Real World Applications 23 Discrete and Continuous Dynamical Systems. Series S 22 Advances in Mathematics 22 Numerische Mathematik 22 Proceedings of the American Mathematical Society 22 SIAM Journal on Control and Optimization 21 Journal of Evolution Equations 20 Probability Theory and Related Fields 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Analysis and Geometry in Metric Spaces 18 Communications in Mathematical Physics 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Stochastic Processes and their Applications 17 Journal of Statistical Physics 16 Manuscripta Mathematica 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 15 Journal of Mathematical Physics 15 SIAM Journal on Applied Mathematics 15 Journal of the European Mathematical Society (JEMS) 14 European Journal of Applied Mathematics 14 Journal of Mathematical Sciences (New York) 14 Electronic Journal of Probability 14 Kinetic and Related Models 13 Nonlinearity 13 Inventiones Mathematicae 13 Journal für die Reine und Angewandte Mathematik 13 Acta Applicandae Mathematicae 13 Journal of Scientific Computing 13 The Annals of Applied Probability 13 Journal of Dynamics and Differential Equations 13 Discrete and Continuous Dynamical Systems. Series B 13 Networks and Heterogeneous Media 13 Advances in Calculus of Variations 12 Journal of Nonlinear Science 11 Journal of Computational and Applied Mathematics 11 Physica D 11 Revista Matemática Iberoamericana 11 SIAM Journal on Scientific Computing 11 Communications on Pure and Applied Analysis 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 11 Oberwolfach Reports 11 SIAM Journal on Imaging Sciences 10 The Annals of Probability 10 Mathematische Zeitschrift 10 Memoirs of the American Mathematical Society 10 SIAM Journal on Optimization 10 Journal of Convex Analysis 10 Bernoulli 10 Annales Henri Poincaré 10 Foundations of Computational Mathematics 10 SIAM Journal on Applied Dynamical Systems 9 Geometric and Functional Analysis. GAFA 9 Analysis & PDE 8 Computers & Mathematics with Applications 8 Communications on Pure and Applied Mathematics 8 Inverse Problems 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Optimization Theory and Applications 8 Mathematische Annalen 8 Numerical Methods for Partial Differential Equations 8 Applied Mathematics Letters 8 Journal of Mathematical Imaging and Vision 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Mathematics in Engineering 7 Journal of Mathematical Biology 7 Mathematical Methods in the Applied Sciences 7 BIT 7 Duke Mathematical Journal 7 Functional Analysis and its Applications 7 Journal of the London Mathematical Society. Second Series 7 Annals of Global Analysis and Geometry 7 Communications in Contemporary Mathematics 7 Advances in Nonlinear Analysis 7 Information Geometry 6 Calcolo 6 Mathematische Nachrichten 6 Applied Numerical Mathematics ...and 280 more Serials all top 5 Cited in 51 Fields 1,387 Partial differential equations (35-XX) 816 Calculus of variations and optimal control; optimization (49-XX) 471 Numerical analysis (65-XX) 431 Probability theory and stochastic processes (60-XX) 375 Differential geometry (53-XX) 234 Global analysis, analysis on manifolds (58-XX) 207 Statistical mechanics, structure of matter (82-XX) 207 Biology and other natural sciences (92-XX) 198 Operator theory (47-XX) 194 Fluid mechanics (76-XX) 183 Mechanics of deformable solids (74-XX) 143 Measure and integration (28-XX) 143 Functional analysis (46-XX) 126 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 119 Ordinary differential equations (34-XX) 117 Operations research, mathematical programming (90-XX) 108 Dynamical systems and ergodic theory (37-XX) 83 Real functions (26-XX) 81 Systems theory; control (93-XX) 80 Statistics (62-XX) 75 Potential theory (31-XX) 71 Functions of a complex variable (30-XX) 58 Computer science (68-XX) 51 Information and communication theory, circuits (94-XX) 48 Integral equations (45-XX) 43 General topology (54-XX) 36 Mechanics of particles and systems (70-XX) 36 Classical thermodynamics, heat transfer (80-XX) 35 Quantum theory (81-XX) 34 Optics, electromagnetic theory (78-XX) 30 Geometry (51-XX) 19 Combinatorics (05-XX) 19 Convex and discrete geometry (52-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Difference and functional equations (39-XX) 14 General and overarching topics; collections (00-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Geophysics (86-XX) 11 Approximations and expansions (41-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Relativity and gravitational theory (83-XX) 8 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 3 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Mathematics education (97-XX) Citations by Year