Edit Profile (opens in new tab) Ambrosio, Luigi Co-Author Distance Author ID: ambrosio.luigi Published as: Ambrosio, Luigi; Ambrosio, L.; Ambrosio, Luigo more...less Homepage: https://cvgmt.sns.it/person/3/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 222 Publications since 1985, including 11 Books 11 Contributions as Editor · 1 Further Contribution Reviewing Activity: 155 Reviews Co-Authors: 141 Co-Authors with 190 Joint Publications 3,348 Co-Co-Authors all top 5 Co-Authors 44 single-authored 22 Savaré, Giuseppe 17 Figalli, Alessio 14 Pallara, Diego 13 Gigli, Nicola 8 Buttazzo, Giuseppe 8 Trevisan, Dario 6 Crippa, Gianluca 6 De Lellis, Camillo 5 Colombo, Maria 5 Dal Maso, Gianni 5 De Giorgi, Ennio 5 De Philippis, Guido 5 Honda, Shouhei 5 Kirchheim, Bernd 5 Miranda, Michele jun. 5 Serra Cassano, Francesco 4 Alberti, Giovanni 4 Braides, Andrea 4 Di Marino, Simone 4 Fusco, Nicola 4 Maniglia, Stefania 4 Mondino, Andrea 4 Soner, Halil Mete 3 Bruè, Elia 3 Caffarelli, Luis Ángel 3 Da Prato, Giuseppe 3 Friesecke, Gero 3 Giannoulis, Johannes 3 Lecumberry, Myriam 3 Masnou, Simon 3 Paolini, Emanuele 3 Tortorelli, Vincenzo Maria 2 Ascenzi, Oscar 2 Bertrand, Jérôme 2 Bourgain, Jean 2 Brenier, Yann 2 Brézis, Haïm 2 Cabré, Xavier 2 Cannarsa, Piermarco 2 Fonseca, Irene 2 Forti, Marco 2 Frid, Hermano 2 Ghezzi, Roberta 2 Ghiraldin, Francesco 2 Glaudo, Federico 2 Magnani, Valentino 2 Mainini, Edoardo 2 Malý, Jan 2 Mantegazza, Carlo 2 Miranda, Mario J. 2 Mortola, Stefano 2 Nicolussi Golo, Sebastiano 2 Paul, Thierry 2 Pinamonti, Andrea 2 Portegies, Jacobus W. 2 Pratelli, Aldo 2 Rajala, Tapio 2 Rivière, Tristan 2 Schmidt, Thomas 2 Semola, Daniele 2 Serfaty, Sylvia 2 Spagnolo, Sergio 2 Speight, Gareth 2 Spinolo, Laura V. 2 Stra, Federico 2 Tewodrose, David 2 Tilli, Paolo 2 Villa, Elena 1 Bakry, Dominique 1 Baradat, Aymeric 1 Bernard, Patrick 1 Bouchut, François 1 Brena, Camillo 1 Capasso, Vincenzo 1 Carlotto, Alessandro 1 Caselles Costa, Vicent 1 Chang, Sun-Yung Alice 1 Colesanti, Andrea 1 Colli Franzone, Piero 1 Comi, Giovanni E. 1 Coscia, Alessandra 1 Crasta, Graziano 1 D’Ancona, Piero 1 De Cicco, Virginia 1 De Palma, Giacomo 1 Durand-Cartagena, Estibalitz 1 Erbar, Matthias 1 Faina, Loris 1 Feng, Jin 1 Fornasier, Massimo 1 Franchi, Bruno 1 Gangbo, Wilfrid 1 Garroni, Adriana 1 Giga, Yoshikazu 1 Giovannetti, Vittorio 1 Gobbino, Massimo 1 Goldman, Michael 1 Goldys, Beniamin 1 Hutchinson, John Edward 1 Katz, Mikhail G. ...and 44 more Co-Authors all top 5 Serials 11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 8 Archive for Rational Mechanics and Analysis 8 Communications on Pure and Applied Mathematics 8 Journal of Functional Analysis 7 Calculus of Variations and Partial Differential Equations 6 Manuscripta Mathematica 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 The Journal of Geometric Analysis 5 Discrete and Continuous Dynamical Systems 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Zeitschrift 4 Communications in Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Ricerche di Matematica 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Revista Matemática Iberoamericana 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bollettino della Unione Matemàtica Italiana. Serie VII. B 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Lecture Notes in Mathematics 3 Analysis and Geometry in Metric Spaces 3 Appunti dei Corsi Tenuti da Docenti della Scuola 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 Mathematische Annalen 2 Acta Applicandae Mathematicae 2 Physica D 2 Probability Theory and Related Fields 2 SIAM Journal on Mathematical Analysis 2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 2 Interfaces and Free Boundaries 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 2 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) 2 Bollettino dell’Unione Matematica Italiana. Series IX 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Acta Mathematica 1 The Annals of Probability 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Commentarii Mathematici Helvetici 1 Gazette des Mathématiciens 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal of Elasticity 1 Notices of the American Mathematical Society 1 Set-Valued Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Methods and Applications of Analysis 1 Electronic Journal of Probability 1 Bernoulli 1 European Mathematical Society Newsletter 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Revista Matemática Complutense 1 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Matematica e Applicazioni. Serie V 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Hyperbolic Differential Equations 1 Advanced Studies in Pure Mathematics 1 Oxford Lecture Series in Mathematics and its Applications 1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 1 Unitext 1 Networks and Heterogeneous Media 1 Analysis & PDE 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal de l’École Polytechnique – Mathématiques 1 Oxford Mathematical Monographs 1 Mathematics in Engineering 1 Springer Collected Works in Mathematics 1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) all top 5 Fields 140 Calculus of variations and optimal control; optimization (49-XX) 78 Partial differential equations (35-XX) 44 Measure and integration (28-XX) 36 Functional analysis (46-XX) 30 Differential geometry (53-XX) 29 Real functions (26-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 Probability theory and stochastic processes (60-XX) 15 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 11 General and overarching topics; collections (00-XX) 11 Potential theory (31-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Functions of a complex variable (30-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 202 Publications have been cited 10,314 times in 6,065 Documents Cited by ▼ Year ▼ Functions of bounded variation and free discontinuity problems. Zbl 0957.49001Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego 1,998 2000 Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 826 2008 Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 518 2005 Approximation of functionals depending on jumps by elliptic functionals via \(\Gamma\)-convergence. Zbl 0722.49020Ambrosio, Luigi; Tortorelli, Vincenzo Maria 386 1990 Transport equation and Cauchy problem for BV vector fields. Zbl 1075.35087Ambrosio, Luigi 337 2004 Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 255 2014 Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 218 2014 Topics on analysis in metric spaces. Zbl 1080.28001Ambrosio, Luigi; Tilli, Paolo 178 2004 On the approximation of free discontinuity problems. Zbl 0776.49029Ambrosio, Luigi; Tortorelli, V. M. 175 1992 Entire solutions of semilinear elliptic equations in \(\mathbb{R}^{3}\) and a conjecture of De Giorgi. Zbl 0968.35041Ambrosio, Luigi; Cabré, Xavier 169 2000 Currents in metric spaces. Zbl 0984.49025Ambrosio, Luigi; Kirchheim, Bernd 159 2000 Lecture notes on optimal transport problems. Zbl 1047.35001Ambrosio, Luigi 141 2003 Rectifiable sets in metric and Banach spaces. Zbl 0966.28002Ambrosio, Luigi; Kirchheim, Bernd 133 2000 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 132 2015 Fine properties of functions with bounded deformation. Zbl 0890.49019Ambrosio, Luigi; Coscia, Alessandra; Dal Maso, Gianni 116 1997 Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. Zbl 1317.53060Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio 111 2015 Existence theory for a new class of variational problems. Zbl 0711.49064Ambrosio, L. 108 1990 Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 99 2011 Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 98 2013 On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property. Zbl 1121.35312Alberti, Giovanni; Ambrosio, Luigi; Cabré, Xavier 97 2001 A compactness theorem for a new class of functions of bounded variation. Zbl 0767.49001Ambrosio, L. 94 1989 Level set approach to mean curvature flow in arbitrary codimension. Zbl 0868.35046Ambrosio, Luigi; Soner, Halil Mete 88 1996 An optimal design problem with perimeter penalization. Zbl 0794.49040Ambrosio, Luigi; Buttazzo, Giuseppe 86 1993 Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002Ambrosio, Luigi 81 2002 Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel 75 2001 A general chain rule for distributional derivatives. Zbl 0685.49027Ambrosio, L.; Dal Maso, G. 73 1990 Existence and stability results in the \(L^1\) theory of optimal transportation. Zbl 1065.49026Ambrosio, Luigi; Pratelli, Aldo 71 2003 Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 70 2019 Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313Ambrosio, Luigo; Crippa, Gianluca 70 2008 On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals. Zbl 0769.49009Ambrosio, Luigi; Dal Maso, Gianni 69 1992 Metric space valued functions of bounded variation. Zbl 0724.49027Ambrosio, Luigi 68 1990 A geometrical approach to monotone functions in \(\mathbb{R}^n\). Zbl 0934.49025Alberti, Giovanni; Ambrosio, Luigi 67 1999 Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029Ambrosio, Luigi; Braides, Andrea 67 1990 Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012Ambrosio, Luigi; Di Marino, Simone 66 2014 A new type of functional in the calculus of variations. Zbl 0715.49014De Giorgi, Ennio; Ambrosio, Luigi 64 1988 Special functions of bounded variation in doubling metric measure spaces. Zbl 1089.49039Ambrosio, L.; Miranda, M. jun.; Pallara, D. 64 2004 Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046Ambrosio, Luigi; Crippa, Gianluca 64 2014 Line energies for gradient vector fields in the plane. Zbl 0960.49013Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo 63 1999 Minimizing movements. Zbl 0957.49029Ambrosio, Luigi 60 1995 Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces. Zbl 1002.28004Ambrosio, Luigi 60 2001 Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028Ambrosio, Luigi; Gangbo, Wilfrid 58 2008 Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo 56 2009 Outer Minkowski content for some classes of closed sets. Zbl 1152.28005Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena 56 2008 A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005Ambrosio, Luigi; Serfaty, Sylvia 55 2008 Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2–8, 2001. Zbl 1013.00028Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric 55 2003 Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041Ambrosio, Luigi 54 2008 Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide 50 2006 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058Ambrosio, Luigi; Trevisan, Dario 49 2014 On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. Zbl 1335.35088Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 48 2016 Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone 46 2015 On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036Ambrosio, Luigi; Figalli, Alessio 46 2009 Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028Ambrosio, Luigi; Braides, Andrea 46 1990 Optimal mass transportation in the Heisenberg group. Zbl 1076.49023Ambrosio, L.; Rigot, S. 46 2004 On the singularities of convex functions. Zbl 0784.49011Alberti, G.; Ambrosio, L.; Cannarsa, P. 41 1992 Gradient flows in metric spaces and in the spaces of probability measures, and applications to Fokker-Planck equations with respect to log-concave measures. Zbl 1210.28005Ambrosio, Luigi 40 2008 A measure theoretic approach to higher codimension mean curvature flows. Zbl 1043.35136Ambrosio, Luigi; Soner, Halil Mete 40 1997 Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe 38 1989 Existence of optimal transport maps for crystalline norms. Zbl 1076.49022Ambrosio, L.; Kirchheim, B.; Pratelli, A. 38 2004 Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129Ambrosio, Luigi 38 2018 A new proof of the SBV compactness theorem. Zbl 0837.49011Ambrosio, Luigi 37 1995 Functionals with linear growth defined on vector valued BV functions. Zbl 0662.49007Ambrosio, L.; Mortola, S.; Tortorelli, V. M. 37 1991 BV functions in abstract Wiener spaces. Zbl 1194.46066Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego 36 2010 Traces and fine properties of a \(BD\) class of vector fields and applications. Zbl 1091.35007Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania 34 2005 A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037Ambrosio, Luigi; Masnou, Simon 34 2003 Variational problems in SBV and image segmentation. Zbl 0697.49004Ambrosio, Luigi 33 1989 On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027Ambrosio, Luigi; Feng, Jin 33 2014 On the lower semicontinuity of quasiconvex integrals in \(\text{SBV}(\Omega ,\mathbf R^ k)\). Zbl 0817.49017Ambrosio, Luigi 32 1994 Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia 31 2011 Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045Ambrosio, L.; Braides, A. 31 1995 A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 29 2019 Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico 29 2009 Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. Zbl 1222.35060Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. 29 2009 Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry 28 2011 Geometric evolution problems, distance function and viscosity solutions. Zbl 0956.35002Ambrosio, L. 28 2000 Partial regularity of free discontinuity sets. II. Zbl 0896.49024Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego 27 1997 New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. Zbl 1485.53051Ambrosio, Luigi; Honda, Shouhei 25 2017 Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007Ambrosio, Luigi; Figalli, Alessio 24 2009 Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 23 2017 Gradient flows of probability measures. Zbl 1203.35002Ambrosio, Luigi; Savaré, Giuseppe 23 2007 Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation. Zbl 0713.49005Ambrosio, Luigi 22 1990 Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo 22 2004 Introduction to geometric measure theory and minimal surfaces. (Corso introduttivo alla teoria geometrica della misura ed alle superfici minime.) Zbl 0977.49028Ambrosio, Luigi 21 1997 Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 21 2012 On the propagation of singularities of semi-convex functions. Zbl 0874.49041Ambrosio, L.; Cannarsa, P.; Soner, H. M. 21 1993 Lectures on elliptic partial differential equations. Zbl 1416.35001Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa 20 2018 Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow. Zbl 1370.26014Lecumberry, Myriam; Ambrosio, Luigi; Maniglia, Stefania 20 2005 Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio 20 2015 On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031Ambrosio, Luigi; Figalli, Alessio 20 2008 Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009Ambrosio, Luigi; Gigli, Nicola 19 2008 A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032Ambrosio, Luigi; De Lellis, Camillo 19 2004 A boundary-value problem for nematic liquid crystals with a variable degree of orientation. Zbl 0736.49031Ambrosio, Luigi; Virga, Epifanio G. 19 1991 Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 18 2013 Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046Ambrosio, Luigi; Brué, Elia; Semola, Daniele 18 2019 Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015Ambrosio, Luigi; Frid, Hermano 18 2009 On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. Zbl 1200.49043Ambrosio, Luigi; De Lellis, Camillo; Malý, Jan 18 2007 A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 17 2014 BMO-type norms related to the perimeter of sets. Zbl 1352.46026Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio 17 2016 Partial regularity of free discontinuity sets. I. Zbl 0896.49023Ambrosio, Luigi; Pallara, Diego 17 1997 Short-time behavior of the heat kernel and Weyl’s law on \(\mathrm{RCD}^*(K,N)\) spaces. Zbl 1390.58015Ambrosio, Luigi; Honda, Shouhei; Tewodrose, David 17 2018 BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034Ambrosio, L.; Ghezzi, R.; Magnani, V. 17 2015 Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative. Zbl 1510.46015Ambrosio, Luigi; Nicolussi Golo, Sebastiano; Serra Cassano, Francesco 2 2023 On the quadratic random matching problem in two-dimensional domains. Zbl 1487.60017Ambrosio, Luigi; Goldman, Michael; Trevisan, Dario 1 2022 Spatially inhomogeneous evolutionary games. Zbl 1470.91038Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe 10 2021 Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions. Zbl 1478.53021Ambrosio, Luigi; Honda, Shouhei; Portegies, Jacobus W.; Tewodrose, David 8 2021 Lectures on optimal transport. Zbl 1485.49001Ambrosio, Luigi; Brué, Elia; Semola, Daniele 4 2021 Linear extension operators between spaces of Lipschitz maps and optimal transport. Zbl 1445.49024Ambrosio, Luigi; Puglisi, Daniele 13 2020 Critical weak-\(L^p\) differentiability of singular integrals. Zbl 1459.42017Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy 2 2020 Heat and entropy flows in Carnot groups. Zbl 1439.53032Ambrosio, Luigi; Stefani, Giorgio 2 2020 Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 70 2019 A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 29 2019 Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046Ambrosio, Luigi; Brué, Elia; Semola, Daniele 18 2019 Finer estimates on the \(2\)-dimensional matching problem. (Estimations plus fines sur le problème de couplage.) Zbl 1434.60054Ambrosio, Luigi; Glaudo, Federico 9 2019 On the optimal map in the 2-dimensional random matching problem. Zbl 1476.60020Ambrosio, Luigi; Glaudo, Federico; Trevisan, Dario 8 2019 Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth 7 2019 Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129Ambrosio, Luigi 38 2018 Lectures on elliptic partial differential equations. Zbl 1416.35001Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa 20 2018 Short-time behavior of the heat kernel and Weyl’s law on \(\mathrm{RCD}^*(K,N)\) spaces. Zbl 1390.58015Ambrosio, Luigi; Honda, Shouhei; Tewodrose, David 17 2018 Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces. Zbl 1402.53034Ambrosio, Luigi; Honda, Shouhei 16 2018 DC calculus. Zbl 1395.58011Ambrosio, Luigi; Bertrand, Jérôme 11 2018 Gaussian optimizers for entropic inequalities in quantum information. Zbl 1395.81062De Palma, Giacomo; Trevisan, Dario; Giovannetti, Vittorio; Ambrosio, Luigi 10 2018 Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and \(\mathrm{RCD}(K,\infty)\) spaces. Zbl 1412.46043Ambrosio, Luigi; Bruè, Elia; Trevisan, Dario 8 2018 Continuity of nonlinear eigenvalues in \(\mathrm{CD}(K,\infty )\) spaces with respect to measured Gromov-Hausdorff convergence. Zbl 1392.49008Ambrosio, Luigi; Honda, Shouhei; Portegies, Jacobus W. 6 2018 Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas 4 2018 Anisotropic surface measures as limits of volume fractions. Zbl 1408.49008Ambrosio, Luigi; Comi, Giovanni E. 3 2018 New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. Zbl 1485.53051Ambrosio, Luigi; Honda, Shouhei 25 2017 Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 23 2017 Lecture notes on the DiPerna-Lions theory in abstract measure spaces. Zbl 1402.35003Ambrosio, Luigi; Trevisan, Dario 14 2017 Perimeter as relaxed Minkowski content in metric measure spaces. Zbl 1359.28002Ambrosio, Luigi; Di Marino, Simone; Gigli, Nicola 12 2017 On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio 11 2017 Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. Zbl 1380.37039Ambrosio, Luigi 10 2017 Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041Ambrosio, 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 1335.35088Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 48 2016 BMO-type norms related to the perimeter of sets. Zbl 1352.46026Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio 17 2016 Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe 15 2016 Gaussian-type isoperimetric inequalities in \(\mathsf{RCD}(K,\infty)\) probability spaces for positive \(K\). Zbl 1351.49056Ambrosio, Luigi; Mondino, Andrea 11 2016 On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018Ambrosio, Luigi; Bertrand, Jérôme 5 2016 Sobolev and bounded variation functions on metric measure spaces. Zbl 1362.53002Ambrosio, Luigi; Ghezzi, Roberta 4 2016 The regularity theory of area-minimizing integral currents [after Almgren-De Lellis-Spadaro]. Zbl 1470.49001Ambrosio, Luigi 2 2016 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 132 2015 Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. Zbl 1317.53060Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio 111 2015 Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone 46 2015 Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio 20 2015 BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034Ambrosio, L.; Ghezzi, R.; Magnani, V. 17 2015 On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe 17 2015 Tensorization of Cheeger energies, the space \(H^{1, 1}\) and the area formula for graphs. Zbl 1345.46025Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth 13 2015 Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego 4 2015 Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 255 2014 Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 218 2014 Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012Ambrosio, Luigi; Di Marino, Simone 66 2014 Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046Ambrosio, Luigi; Crippa, Gianluca 64 2014 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058Ambrosio, Luigi; Trevisan, Dario 49 2014 On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027Ambrosio, Luigi; Feng, Jin 33 2014 A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 17 2014 Perimeter of sets and BMO-type norms. (Périmètre d’ensembles et normes de type BMO.) Zbl 1316.46026Ambrosio, Luigi; Bourgain, Jean; Brezis, Haïm; Figalli, Alessio 5 2014 Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces. Zbl 1283.49055Ambrosio, Luigi; Rajala, Tapio 3 2014 Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 98 2013 Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 18 2013 A variational model for plastic slip and its regularization via \(\Gamma \)-convergence. Zbl 1326.74112Ambrosio, Luigi; Lemenant, Antoine; Royer-Carfagni, Gianni 10 2013 Selected papers. Edited by Luigi Ambrosio, Gianni Dal Maso, Marco Forti, Mario Miranda and Sergio A. Spagnolo. Reprint of the 2006 edition. Zbl 1279.00037De Giorgi, Ennio 7 2013 A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\). Zbl 1270.26013Ambrosio, Luigi; Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 6 2013 On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. Zbl 1282.28002Ambrosio, Luigi; Figalli, Alessio; Runa, Eris 5 2013 Compactness results for normal currents and the plateau problem in dual Banach spaces. Zbl 1275.49073Ambrosio, Luigi; Schmidt, Thomas 3 2013 Flat chains of finite size in metric spaces. Zbl 1261.49013Ambrosio, Luigi; Ghiraldin, Francesco 2 2013 An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below. Zbl 1271.49028Ambrosio, Luigi 2 2013 Compactness of special functions of bounded higher variation. Zbl 1266.49090Ambrosio, Luigi; Ghiraldin, Francesco 1 2013 Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 21 2012 Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1288.58016Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 8 2012 Bounded variation with respect to a log-concave measure. Zbl 1257.26009Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego 3 2012 Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 99 2011 Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia 31 2011 Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry 28 2011 Introduction to measure theory and integration. Zbl 1264.28001Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea 16 2011 Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces. Zbl 1228.60063Ambrosio, Luigi; Figalli, Alessio 12 2011 The flow associated to weakly differentiable vector fields: recent results and open problems. Zbl 1248.35048Ambrosio, Luigi 10 2011 Flat currents modulo \(p\) in metric spaces and filling radius inequalities. Zbl 1222.49057Ambrosio, Luigi; Katz, Mikhail G. 9 2011 Rectifiability of flat chains in Banach spaces with coefficients in \(\mathbb Z_p\). Zbl 1229.49049Ambrosio, Luigi; Wenger, Stefan 7 2011 Existence and uniqueness results for the continuity equation and applications to the chromatography system. Zbl 1248.35119Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. 3 2011 Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd 3 2011 BV functions in abstract Wiener spaces. Zbl 1194.46066Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego 36 2010 Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions. Zbl 1203.35192Ambrosio, Luigi; Friesecke, Gero; Giannoulis, Johannes 12 2010 Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability. Zbl 1196.28023Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego 11 2010 Almost everywhere well-posedness of continuity equations with measure initial data. (Existence presque partout des équations de continuité avec données initiales mesures.) Zbl 1195.35202Ambrosio, Luigi; Figalli, Alessio 8 2010 Towards a theory of BV functions in abstract Wiener spaces. Zbl 1200.26011Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego 5 2010 Locality of the perimeter in Carnot groups and chain rule. Zbl 1203.28001Ambrosio, Luigi; Scienza, Matteo 5 2010 BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego 5 2010 Infinite-dimensional porous media equations and optimal transportation. Zbl 1239.35064Ambrosio, Luigi; Mainini, Edoardo 2 2010 Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo 56 2009 On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036Ambrosio, Luigi; Figalli, Alessio 46 2009 Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico 29 2009 Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. Zbl 1222.35060Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. 29 2009 Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007Ambrosio, Luigi; Figalli, Alessio 24 2009 Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015Ambrosio, Luigi; Frid, Hermano 18 2009 On the approximation of mean densities of random closed sets. Zbl 1253.60007Ambrosio, Luigi; Capasso, Vincenzo; Villa, Elena 14 2009 Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications. Zbl 1180.35065Ambrosio, Luigi; Frid, Hermano; Silva, Jean 7 2009 Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 826 2008 Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313Ambrosio, Luigo; Crippa, Gianluca 70 2008 Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028Ambrosio, Luigi; Gangbo, Wilfrid 58 2008 Outer Minkowski content for some classes of closed sets. Zbl 1152.28005Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena 56 2008 A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005Ambrosio, Luigi; Serfaty, Sylvia 55 2008 Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041Ambrosio, Luigi 54 2008 ...and 102 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,128 Authors 109 Ambrosio, Luigi 66 Carrillo de la Plata, José Antonio 64 Novaga, Matteo 58 Valdinoci, Enrico 57 Figalli, Alessio 47 Chambolle, Antonin 47 Santambrogio, Filippo 46 Savaré, Giuseppe 45 Gigli, Nicola 41 Fonseca, Irene 40 Braides, Andrea 39 Mazón Ruiz, José M. 38 Conti, Sergio 37 Lahti, Panu 36 Fusco, Nicola 35 Crippa, Gianluca 34 Caselles Costa, Vicent 32 Bellettini, Giovanni 31 De Philippis, Guido 30 De Lellis, Camillo 30 Peletier, Mark Adriaan 29 Giacomini, Alessandro 29 Shanmugalingam, Nageswari 27 Bianchini, Stefano 27 Bogachev, Vladimir Igorevich 27 Mielke, Alexander 25 Bucur, Dorin 25 Dal Maso, Gianni 25 Fuchs, Martin 25 Mondino, Andrea 25 Ponsiglione, Marcello 25 Sturm, Karl-Theodor 25 Wick, Thomas 24 Leoni, Giovanni 24 Pratelli, Aldo 24 Röckner, Michael 23 Cannarsa, Piermarco 23 Cardaliaguet, Pierre 22 Friedrich, Manuel 22 Gangbo, Wilfrid 22 Morini, Massimiliano 22 Rossi, Riccarda 22 Solombrino, Francesco 21 Burger, Martin 21 Carlier, Guillaume 21 Dipierro, Serena 21 Focardi, Matteo 21 Maggi, Francesco 21 Magnani, Valentino 20 Cicalese, Marco 20 Honda, Shouhei 20 Leonardi, Gian Paolo 20 Pallara, Diego 20 Pasqualetto, Enrico 20 Stefanelli, Ulisse 20 Wei, Juncheng 19 Bildhauer, Michael 19 Buttazzo, Giuseppe 19 Cavalletti, Fabio 19 Marigonda, Antonio 19 McCann, Robert J. 19 Miranda, Michele jun. 19 Pinamonti, Andrea 19 Schönlieb, Carola-Bibiane 19 Sire, Yannick 18 Bruè, Elia 18 Colombo, Maria 18 Crismale, Vito 18 Farina, Alberto 18 Francfort, Gilles A. 18 Matthes, Daniel 18 Rajala, Tapio 18 Rindler, Filip 18 Rossi, Julio Daniel 18 Segura de León, Sergio 18 Serfaty, Sylvia 17 De Cicco, Virginia 17 Garroni, Adriana 17 Orlandi, Giandomenico 17 Rumpf, Martin 17 Slepčev, Dejan 17 Vittone, Davide 17 Wirth, Benedikt 16 Balogh, Zoltán M. 16 Bredies, Kristian 16 Da Prato, Giuseppe 16 Flandoli, Franco 16 Fornasier, Massimo 16 Fragalà, Ilaria 16 Goldman, Michael 16 Jabin, Pierre-Emmanuel 16 Luo, Dejun 16 Masnou, Simon 16 Mucci, Domenico 16 Omari, Pierpaolo 16 Serra Cassano, Francesco 16 Trevisan, Dario 16 Wenger, Stefan 15 Andreu, Fuensanta 15 Babadjian, Jean-François ...and 5,028 more Authors all top 5 Cited in 507 Serials 376 Calculus of Variations and Partial Differential Equations 273 Archive for Rational Mechanics and Analysis 196 Journal of Functional Analysis 189 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 159 Journal of Differential Equations 155 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 139 SIAM Journal on Mathematical Analysis 134 Journal of Mathematical Analysis and Applications 129 Journal de Mathématiques Pures et Appliquées. Neuvième Série 118 Computer Methods in Applied Mechanics and Engineering 99 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 90 The Journal of Geometric Analysis 79 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 78 Communications in Partial Differential Equations 77 Journal of Mathematical Imaging and Vision 76 Transactions of the American Mathematical Society 71 Discrete and Continuous Dynamical Systems 65 Proceedings of the American Mathematical Society 63 Advances in Mathematics 61 Annali di Matematica Pura ed Applicata. Serie Quarta 57 Advances in Calculus of Variations 54 Comptes Rendus. Mathématique. Académie des Sciences, Paris 51 Journal of the European Mathematical Society (JEMS) 50 Journal of Computational Physics 49 NoDEA. Nonlinear Differential Equations and Applications 47 SIAM Journal on Imaging Sciences 46 Communications in Mathematical Physics 44 Analysis and Geometry in Metric Spaces 43 Applied Mathematics and Optimization 41 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 40 Manuscripta Mathematica 40 Journal of Mathematical Sciences (New York) 38 Mathematische Annalen 37 Potential Analysis 36 Mathematische Zeitschrift 35 SIAM Journal on Control and Optimization 35 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Communications on Pure and Applied Mathematics 34 Journal of Nonlinear Science 33 Revista Matemática Iberoamericana 32 Communications in Contemporary Mathematics 31 Inventiones Mathematicae 31 Journal für die Reine und Angewandte Mathematik 31 Discrete and Continuous Dynamical Systems. Series S 25 Probability Theory and Related Fields 25 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 25 Journal of Evolution Equations 24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 24 Journal of Convex Analysis 24 Interfaces and Free Boundaries 24 Inverse Problems and Imaging 23 Journal of Statistical Physics 23 Rendiconti del Seminario Matematico della Università di Padova 23 The Annals of Applied Probability 23 Journal of Elasticity 23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 23 Stochastic Processes and their Applications 22 Journal of the Mechanics and Physics of Solids 22 Numerische Mathematik 22 Geometric and Functional Analysis. GAFA 21 Inverse Problems 21 Journal of Scientific Computing 20 Journal d’Analyse Mathématique 20 SIAM Journal on Applied Mathematics 20 Electronic Journal of Probability 20 Nonlinear Analysis. Real World Applications 19 Journal of Optimization Theory and Applications 19 Computational Mechanics 19 Communications on Pure and Applied Analysis 18 Nonlinearity 18 The Annals of Probability 18 Indiana University Mathematics Journal 18 Physica D 18 European Journal of Applied Mathematics 18 Foundations of Computational Mathematics 17 Journal of Mathematical Physics 17 Duke Mathematical Journal 17 SIAM Journal on Numerical Analysis 17 SIAM Journal on Scientific Computing 17 Milan Journal of Mathematics 17 Networks and Heterogeneous Media 16 Memoirs of the American Mathematical Society 16 Quarterly of Applied Mathematics 16 International Journal of Computer Vision 16 Kinetic and Related Models 15 Computers & Mathematics with Applications 15 Journal of the London Mathematical Society. Second Series 15 Acta Applicandae Mathematicae 15 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 15 Journal of Dynamics and Differential Equations 15 Bulletin des Sciences Mathématiques 15 Bernoulli 15 Analysis & PDE 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Mathematics of Computation 14 International Journal for Numerical Methods in Engineering 14 Applied Mathematics Letters 14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 14 Annales Academiae Scientiarum Fennicae. Mathematica 14 Advanced Nonlinear Studies ...and 407 more Serials all top 5 Cited in 58 Fields 2,507 Partial differential equations (35-XX) 2,258 Calculus of variations and optimal control; optimization (49-XX) 768 Differential geometry (53-XX) 720 Mechanics of deformable solids (74-XX) 631 Probability theory and stochastic processes (60-XX) 620 Numerical analysis (65-XX) 471 Real functions (26-XX) 467 Measure and integration (28-XX) 463 Functional analysis (46-XX) 416 Global analysis, analysis on manifolds (58-XX) 334 Fluid mechanics (76-XX) 331 Statistical mechanics, structure of matter (82-XX) 295 Information and communication theory, circuits (94-XX) 282 Operator theory (47-XX) 257 Computer science (68-XX) 209 Biology and other natural sciences (92-XX) 199 Operations research, mathematical programming (90-XX) 182 Functions of a complex variable (30-XX) 180 Ordinary differential equations (34-XX) 180 Dynamical systems and ergodic theory (37-XX) 133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 131 Statistics (62-XX) 123 Convex and discrete geometry (52-XX) 123 Systems theory; control (93-XX) 121 Potential theory (31-XX) 86 General topology (54-XX) 79 Quantum theory (81-XX) 74 Topological groups, Lie groups (22-XX) 73 Harmonic analysis on Euclidean spaces (42-XX) 72 Integral equations (45-XX) 64 Geometry (51-XX) 64 Mechanics of particles and systems (70-XX) 42 Combinatorics (05-XX) 36 Optics, electromagnetic theory (78-XX) 35 Approximations and expansions (41-XX) 35 Abstract harmonic analysis (43-XX) 34 Geophysics (86-XX) 30 Difference and functional equations (39-XX) 30 Classical thermodynamics, heat transfer (80-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Several complex variables and analytic spaces (32-XX) 25 Manifolds and cell complexes (57-XX) 19 Group theory and generalizations (20-XX) 18 Relativity and gravitational theory (83-XX) 17 General and overarching topics; collections (00-XX) 14 Algebraic topology (55-XX) 10 Number theory (11-XX) 9 Algebraic geometry (14-XX) 6 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 4 Astronomy and astrophysics (85-XX) 3 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.