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 Videos: carmin.tv Documents Indexed: 227 Publications since 1985, including 11 Books and 2 Additional arXiv Preprints 11 Contributions as Editor · 1 Further Contribution Reviewing Activity: 155 Reviews Co-Authors: 146 Co-Authors with 194 Joint Publications 3,827 Co-Co-Authors all top 5 Co-Authors 44 single-authored 22 Savaré, Giuseppe 17 Figalli, Alessio 14 Pallara, Diego 13 Gigli, Nicola 9 Trevisan, Dario 8 Buttazzo, Giuseppe 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 Brena, Camillo 3 Brenier, Yann 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 Baradat, Aymeric 2 Bertrand, Jérôme 2 Bourgain, Jean 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 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 Aziznejad, Shayan 1 Bakry, Dominique 1 Bernard, Patrick 1 Bouchut, François 1 Capasso, Vincenzo 1 Carlotto, Alessandro 1 Caselles Costa, Vicent 1 Chang, Sun-Yung Alice 1 Colesanti, Andrea 1 Colli Franzone, Piero 1 Conti, Sergio 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 ...and 49 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 9 Archive for Rational Mechanics and Analysis 8 Communications on Pure and Applied Mathematics 8 Journal of Functional Analysis 8 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 2 Analysis & PDE 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 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 144 Calculus of variations and optimal control; optimization (49-XX) 78 Partial differential equations (35-XX) 46 Measure and integration (28-XX) 39 Functional analysis (46-XX) 32 Real functions (26-XX) 31 Differential geometry (53-XX) 27 Global analysis, analysis on manifolds (58-XX) 27 Probability theory and stochastic processes (60-XX) 16 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 12 Potential theory (31-XX) 11 General and overarching topics; collections (00-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) 3 Information and communication theory, circuits (94-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) 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) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 207 Publications have been cited 12,166 times in 7,111 Documents Cited by ▼ Year ▼ Functions of bounded variation and free discontinuity problems. Zbl 0957.49001 Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego 2,398 2000 Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 1,048 2008 Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 630 2005 Approximation of functionals depending on jumps by elliptic functionals via \(\Gamma\)-convergence. Zbl 0722.49020 Ambrosio, Luigi; Tortorelli, Vincenzo Maria 442 1990 Transport equation and Cauchy problem for BV vector fields. Zbl 1075.35087 Ambrosio, Luigi 369 2004 Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 316 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 268 2014 Topics on analysis in metric spaces. Zbl 1080.28001 Ambrosio, Luigi; Tilli, Paolo 208 2004 On the approximation of free discontinuity problems. Zbl 0776.49029 Ambrosio, Luigi; Tortorelli, V. M. 198 1992 Entire solutions of semilinear elliptic equations in \(\mathbb{R}^{3}\) and a conjecture of De Giorgi. Zbl 0968.35041 Ambrosio, Luigi; Cabré, Xavier 189 2000 Currents in metric spaces. Zbl 0984.49025 Ambrosio, Luigi; Kirchheim, Bernd 170 2000 Lecture notes on optimal transport problems. Zbl 1047.35001 Ambrosio, Luigi 157 2003 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 153 2015 Rectifiable sets in metric and Banach spaces. Zbl 0966.28002 Ambrosio, Luigi; Kirchheim, Bernd 139 2000 Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. Zbl 1317.53060 Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio 133 2015 Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 129 2013 Fine properties of functions with bounded deformation. Zbl 0890.49019 Ambrosio, Luigi; Coscia, Alessandra; Dal Maso, Gianni 125 1997 Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051 Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 117 2011 Existence theory for a new class of variational problems. Zbl 0711.49064 Ambrosio, L. 115 1990 A new type of functional in the calculus of variations. Zbl 0715.49014 De Giorgi, Ennio; Ambrosio, Luigi 107 1988 A compactness theorem for a new class of functions of bounded variation. Zbl 0767.49001 Ambrosio, L. 103 1989 On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property. Zbl 1121.35312 Alberti, Giovanni; Ambrosio, Luigi; Cabré, Xavier 102 2001 Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002 Ambrosio, Luigi 100 2002 Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003 Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 96 2019 An optimal design problem with perimeter penalization. Zbl 0794.49040 Ambrosio, Luigi; Buttazzo, Giuseppe 95 1993 Level set approach to mean curvature flow in arbitrary codimension. Zbl 0868.35046 Ambrosio, Luigi; Soner, Halil Mete 93 1996 Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012 Ambrosio, Luigi; Di Marino, Simone 86 2014 A general chain rule for distributional derivatives. Zbl 0685.49027 Ambrosio, L.; Dal Maso, G. 85 1990 Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024 Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel 84 2001 Existence and stability results in the \(L^1\) theory of optimal transportation. Zbl 1065.49026 Ambrosio, Luigi; Pratelli, Aldo 80 2003 Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029 Ambrosio, Luigi; Braides, Andrea 79 1990 Metric space valued functions of bounded variation. Zbl 0724.49027 Ambrosio, Luigi 78 1990 Minimizing movements. Zbl 0957.49029 Ambrosio, Luigi 78 1995 Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046 Ambrosio, Luigi; Crippa, Gianluca 76 2014 Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313 Ambrosio, Luigo; Crippa, Gianluca 76 2008 On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals. Zbl 0769.49009 Ambrosio, Luigi; Dal Maso, Gianni 75 1992 Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces. Zbl 1002.28004 Ambrosio, Luigi 74 2001 A geometrical approach to monotone functions in \(\mathbb{R}^n\). Zbl 0934.49025 Alberti, Giovanni; Ambrosio, Luigi 74 1999 Special functions of bounded variation in doubling metric measure spaces. Zbl 1089.49039 Ambrosio, L.; Miranda, M. jun.; Pallara, D. 74 2004 Line energies for gradient vector fields in the plane. Zbl 0960.49013 Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo 68 1999 Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028 Ambrosio, Luigi; Gangbo, Wilfrid 67 2008 Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041 Ambrosio, Luigi 65 2008 Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2–8, 2001. Zbl 1013.00028 Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric 64 2003 Outer Minkowski content for some classes of closed sets. Zbl 1152.28005 Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena 64 2008 Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129 Ambrosio, Luigi 62 2018 Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018 Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone 60 2015 Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105 Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo 57 2009 A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005 Ambrosio, Luigi; Serfaty, Sylvia 56 2008 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 Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045 Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide 54 2006 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058 Ambrosio, Luigi; Trevisan, Dario 54 2014 Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028 Ambrosio, Luigi; Braides, Andrea 51 1990 On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036 Ambrosio, Luigi; Figalli, Alessio 49 2009 A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017 Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 49 2019 Optimal mass transportation in the Heisenberg group. Zbl 1076.49023 Ambrosio, L.; Rigot, S. 49 2004 New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. Zbl 1485.53051 Ambrosio, Luigi; Honda, Shouhei 48 2017 On the singularities of convex functions. Zbl 0784.49011 Alberti, G.; Ambrosio, L.; Cannarsa, P. 45 1992 Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025 Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe 42 1989 A new proof of the SBV compactness theorem. Zbl 0837.49011 Ambrosio, Luigi 42 1995 A measure theoretic approach to higher codimension mean curvature flows. Zbl 1043.35136 Ambrosio, Luigi; Soner, Halil Mete 42 1997 On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027 Ambrosio, Luigi; Feng, Jin 40 2014 Traces and fine properties of a \(BD\) class of vector fields and applications. Zbl 1091.35007 Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania 39 2005 Existence of optimal transport maps for crystalline norms. Zbl 1076.49022 Ambrosio, L.; Kirchheim, B.; Pratelli, A. 39 2004 Functionals with linear growth defined on vector valued BV functions. Zbl 0662.49007 Ambrosio, L.; Mortola, S.; Tortorelli, V. M. 38 1991 On the lower semicontinuity of quasiconvex integrals in \(\text{SBV}(\Omega ,\mathbf R^ k)\). Zbl 0817.49017 Ambrosio, Luigi 38 1994 BV functions in abstract Wiener spaces. Zbl 1194.46066 Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego 38 2010 Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022 Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia 37 2011 Variational problems in SBV and image segmentation. Zbl 0697.49004 Ambrosio, Luigi 35 1989 A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037 Ambrosio, Luigi; Masnou, Simon 35 2003 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 1210.28005 Ambrosio, Luigi 35 2008 Geometric evolution problems, distance function and viscosity solutions. Zbl 0956.35002 Ambrosio, L. 33 2000 Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. Zbl 1222.35060 Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. 32 2009 Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045 Ambrosio, L.; Braides, A. 31 1995 On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005 Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe 31 2015 Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008 Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico 31 2009 Lectures on elliptic partial differential equations. Zbl 1416.35001 Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa 30 2018 Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces. Zbl 1402.53034 Ambrosio, Luigi; Honda, Shouhei 29 2018 Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186 Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry 28 2011 Partial regularity of free discontinuity sets. II. Zbl 0896.49024 Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego 27 1997 Short-time behavior of the heat kernel and Weyl’s law on \(\mathrm{RCD}^*(K,N)\) spaces. Zbl 1390.58015 Ambrosio, Luigi; Honda, Shouhei; Tewodrose, David 27 2018 Introduction to geometric measure theory and minimal surfaces. (Corso introduttivo alla teoria geometrica della misura ed alle superfici minime.) Zbl 0977.49028 Ambrosio, Luigi 26 1997 Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046 Ambrosio, Luigi; Brué, Elia; Semola, Daniele 26 2019 Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007 Ambrosio, Luigi; Figalli, Alessio 26 2009 Gradient flows of probability measures. Zbl 1203.35002 Ambrosio, Luigi; Savaré, Giuseppe 25 2007 Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033 Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 25 2017 Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164 Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 24 2012 Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow. Zbl 1370.26014 Lecumberry, Myriam; Ambrosio, Luigi; Maniglia, Stefania 23 2005 On the propagation of singularities of semi-convex functions. Zbl 0874.49041 Ambrosio, L.; Cannarsa, P.; Soner, H. M. 23 1993 Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116 Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo 23 2004 Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation. Zbl 0713.49005 Ambrosio, Luigi 22 1990 BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034 Ambrosio, L.; Ghezzi, R.; Magnani, V. 22 2015 Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039 Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio 22 2015 Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009 Ambrosio, Luigi; Gigli, Nicola 21 2008 Tensorization of Cheeger energies, the space \(H^{1, 1}\) and the area formula for graphs. Zbl 1345.46025 Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth 21 2015 BMO-type norms related to the perimeter of sets. Zbl 1352.46026 Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio 21 2016 On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. Zbl 1200.49043 Ambrosio, Luigi; De Lellis, Camillo; Malý, Jan 21 2007 On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031 Ambrosio, Luigi; Figalli, Alessio 20 2008 Selected papers. Edited by Luigi Ambrosio, Gianni Dal Maso, Marco Forti, Mario Miranda and Sergio A. Spagnolo. Reprint of the 2006 edition. Zbl 1279.00037 De Giorgi, Ennio 20 2013 Weak differentiability of BV functions on stratified groups. Zbl 1048.49030 Ambrosio, Luigi; Magnani, Valentino 20 2003 A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032 Ambrosio, Luigi; De Lellis, Camillo 20 2004 Linear inverse problems with Hessian-Schatten total variation. Zbl 1536.46060 Ambrosio, Luigi; Aziznejad, Shayan; Brena, Camillo; Unser, Michael 1 2024 Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative. Zbl 1510.46015 Ambrosio, Luigi; Nicolussi Golo, Sebastiano; Serra Cassano, Francesco 2 2023 Stability of a class of action functionals depending on convex functions. Zbl 1518.49015 Ambrosio, Luigi; Brena, Camillo 2 2023 Monge-Ampère gravitation as a \(\Gamma \)-limit of good rate functions. Zbl 1536.49017 Ambrosio, Luigi; Baradat, Aymeric; Brenier, Yann 1 2023 On the quadratic random matching problem in two-dimensional domains. Zbl 1487.60017 Ambrosio, Luigi; Goldman, Michael; Trevisan, Dario 5 2022 Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions. Zbl 1478.53021 Ambrosio, Luigi; Honda, Shouhei; Portegies, Jacobus W.; Tewodrose, David 17 2021 Lectures on optimal transport. Zbl 1485.49001 Ambrosio, Luigi; Brué, Elia; Semola, Daniele 16 2021 Spatially inhomogeneous evolutionary games. Zbl 1470.91038 Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe 12 2021 \(\Gamma\)-convergence for a class of action functionals induced by gradients of convex functions. Zbl 1473.37094 Ambrosio, Luigi; Baradat, Aymeric; Brenier, Yann 3 2021 Duality properties of metric Sobolev spaces and capacity. Zbl 1504.46048 Ambrosio, Luigi; Savaré, Giuseppe 1 2021 Linear extension operators between spaces of Lipschitz maps and optimal transport. Zbl 1445.49024 Ambrosio, Luigi; Puglisi, Daniele 15 2020 Heat and entropy flows in Carnot groups. Zbl 1439.53032 Ambrosio, Luigi; Stefani, Giorgio 3 2020 Critical weak-\(L^p\) differentiability of singular integrals. Zbl 1459.42017 Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy 2 2020 Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003 Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe 96 2019 A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017 Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 49 2019 Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046 Ambrosio, Luigi; Brué, Elia; Semola, Daniele 26 2019 Finer estimates on the \(2\)-dimensional matching problem. (Estimations plus fines sur le problème de couplage.) Zbl 1434.60054 Ambrosio, Luigi; Glaudo, Federico 13 2019 Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020 Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth 12 2019 On the optimal map in the 2-dimensional random matching problem. Zbl 1476.60020 Ambrosio, Luigi; Glaudo, Federico; Trevisan, Dario 11 2019 Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129 Ambrosio, Luigi 62 2018 Lectures on elliptic partial differential equations. Zbl 1416.35001 Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa 30 2018 Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces. Zbl 1402.53034 Ambrosio, Luigi; Honda, Shouhei 29 2018 Short-time behavior of the heat kernel and Weyl’s law on \(\mathrm{RCD}^*(K,N)\) spaces. Zbl 1390.58015 Ambrosio, Luigi; Honda, Shouhei; Tewodrose, David 27 2018 DC calculus. Zbl 1395.58011 Ambrosio, Luigi; Bertrand, Jérôme 13 2018 Gaussian optimizers for entropic inequalities in quantum information. Zbl 1395.81062 De Palma, Giacomo; Trevisan, Dario; Giovannetti, Vittorio; Ambrosio, Luigi 12 2018 Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and \(\mathrm{RCD}(K,\infty)\) spaces. Zbl 1412.46043 Ambrosio, Luigi; Bruè, Elia; Trevisan, Dario 10 2018 Continuity of nonlinear eigenvalues in \(\mathrm{CD}(K,\infty )\) spaces with respect to measured Gromov-Hausdorff convergence. Zbl 1392.49008 Ambrosio, Luigi; Honda, Shouhei; Portegies, Jacobus W. 6 2018 Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067 Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas 4 2018 Anisotropic surface measures as limits of volume fractions. Zbl 1408.49008 Ambrosio, Luigi; Comi, Giovanni E. 4 2018 New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. Zbl 1485.53051 Ambrosio, Luigi; Honda, Shouhei 48 2017 Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033 Ambrosio, Luigi; Stra, Federico; Trevisan, Dario 25 2017 Perimeter as relaxed Minkowski content in metric measure spaces. Zbl 1359.28002 Ambrosio, Luigi; Di Marino, Simone; Gigli, Nicola 19 2017 On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085 Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio 16 2017 Lecture notes on the DiPerna-Lions theory in abstract measure spaces. Zbl 1402.35003 Ambrosio, Luigi; Trevisan, Dario 15 2017 Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. Zbl 1380.37039 Ambrosio, Luigi 13 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 BMO-type norms related to the perimeter of sets. Zbl 1352.46026 Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio 21 2016 Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075 Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe 20 2016 Gaussian-type isoperimetric inequalities in \(\mathsf{RCD}(K,\infty)\) probability spaces for positive \(K\). Zbl 1351.49056 Ambrosio, Luigi; Mondino, Andrea 11 2016 On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018 Ambrosio, Luigi; Bertrand, Jérôme 9 2016 Sobolev and bounded variation functions on metric measure spaces. Zbl 1362.53002 Ambrosio, Luigi; Ghezzi, Roberta 7 2016 The regularity theory of area-minimizing integral currents [after Almgren-De Lellis-Spadaro]. Zbl 1470.49001 Ambrosio, Luigi 2 2016 Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 153 2015 Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. Zbl 1317.53060 Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio 133 2015 Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018 Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone 60 2015 On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005 Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe 31 2015 BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034 Ambrosio, L.; Ghezzi, R.; Magnani, V. 22 2015 Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039 Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio 22 2015 Tensorization of Cheeger energies, the space \(H^{1, 1}\) and the area formula for graphs. Zbl 1345.46025 Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth 21 2015 Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058 Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego 7 2015 Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 316 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 268 2014 Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012 Ambrosio, Luigi; Di Marino, Simone 86 2014 Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046 Ambrosio, Luigi; Crippa, Gianluca 76 2014 Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058 Ambrosio, Luigi; Trevisan, Dario 54 2014 On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027 Ambrosio, Luigi; Feng, Jin 40 2014 A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064 Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 18 2014 Perimeter of sets and BMO-type norms. (Périmètre d’ensembles et normes de type BMO.) Zbl 1316.46026 Ambrosio, Luigi; Bourgain, Jean; Brezis, Haïm; Figalli, Alessio 5 2014 Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces. Zbl 1283.49055 Ambrosio, Luigi; Rajala, Tapio 3 2014 Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 129 2013 Selected papers. Edited by Luigi Ambrosio, Gianni Dal Maso, Marco Forti, Mario Miranda and Sergio A. Spagnolo. Reprint of the 2006 edition. Zbl 1279.00037 De Giorgi, Ennio 20 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 19 2013 A variational model for plastic slip and its regularization via \(\Gamma \)-convergence. Zbl 1326.74112 Ambrosio, Luigi; Lemenant, Antoine; Royer-Carfagni, Gianni 13 2013 A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\). Zbl 1270.26013 Ambrosio, Luigi; Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 7 2013 On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. Zbl 1282.28002 Ambrosio, Luigi; Figalli, Alessio; Runa, Eris 5 2013 Compactness results for normal currents and the plateau problem in dual Banach spaces. Zbl 1275.49073 Ambrosio, Luigi; Schmidt, Thomas 4 2013 Flat chains of finite size in metric spaces. Zbl 1261.49013 Ambrosio, Luigi; Ghiraldin, Francesco 3 2013 Compactness of special functions of bounded higher variation. Zbl 1266.49090 Ambrosio, Luigi; Ghiraldin, Francesco 1 2013 An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below. Zbl 1271.49028 Ambrosio, Luigi 1 2013 Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164 Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 24 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 10 2012 Bounded variation with respect to a log-concave measure. Zbl 1257.26009 Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego 3 2012 Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051 Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 117 2011 Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022 Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia 37 2011 Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186 Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry 28 2011 Introduction to measure theory and integration. Zbl 1264.28001 Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea 17 2011 Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces. Zbl 1228.60063 Ambrosio, Luigi; Figalli, Alessio 12 2011 The flow associated to weakly differentiable vector fields: recent results and open problems. Zbl 1248.35048 Ambrosio, Luigi 10 2011 Flat currents modulo \(p\) in metric spaces and filling radius inequalities. Zbl 1222.49057 Ambrosio, Luigi; Katz, Mikhail G. 9 2011 Rectifiability of flat chains in Banach spaces with coefficients in \(\mathbb Z_p\). Zbl 1229.49049 Ambrosio, Luigi; Wenger, Stefan 8 2011 Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033 Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd 3 2011 Existence and uniqueness results for the continuity equation and applications to the chromatography system. Zbl 1248.35119 Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. 3 2011 BV functions in abstract Wiener spaces. Zbl 1194.46066 Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego 38 2010 Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions. Zbl 1203.35192 Ambrosio, Luigi; Friesecke, Gero; Giannoulis, Johannes 12 2010 Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability. Zbl 1196.28023 Ambrosio, 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 1195.35202 Ambrosio, Luigi; Figalli, Alessio 8 2010 Locality of the perimeter in Carnot groups and chain rule. Zbl 1203.28001 Ambrosio, Luigi; Scienza, Matteo 8 2010 BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014 Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego 5 2010 Towards a theory of BV functions in abstract Wiener spaces. Zbl 1200.26011 Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego 5 2010 Infinite-dimensional porous media equations and optimal transportation. Zbl 1239.35064 Ambrosio, Luigi; Mainini, Edoardo 2 2010 Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105 Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo 57 2009 On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036 Ambrosio, Luigi; Figalli, Alessio 49 2009 Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. Zbl 1222.35060 Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. 32 2009 Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008 Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico 31 2009 Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007 Ambrosio, Luigi; Figalli, Alessio 26 2009 Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015 Ambrosio, Luigi; Frid, Hermano 20 2009 On the approximation of mean densities of random closed sets. Zbl 1253.60007 Ambrosio, Luigi; Capasso, Vincenzo; Villa, Elena 14 2009 Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications. Zbl 1180.35065 Ambrosio, Luigi; Frid, Hermano; Silva, Jean 7 2009 Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 1,048 2008 ...and 107 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,901 Authors 116 Ambrosio, Luigi 75 Carrillo de la Plata, José Antonio 70 Novaga, Matteo 58 Figalli, Alessio 58 Valdinoci, Enrico 55 Savaré, Giuseppe 53 Chambolle, Antonin 52 Gigli, Nicola 51 Santambrogio, Filippo 46 Fonseca, Irene 45 Conti, Sergio 45 Mazón Ruiz, José M. 43 Braides, Andrea 42 Fusco, Nicola 41 Lahti, Panu 38 Crippa, Gianluca 35 Bellettini, Giovanni 35 De Philippis, Guido 34 Caselles Costa, Vicent 34 Mielke, Alexander 32 Bogachev, Vladimir Igorevich 32 Mondino, Andrea 32 Peletier, Mark Adriaan 31 De Lellis, Camillo 31 Giacomini, Alessandro 30 Bianchini, Stefano 30 Shanmugalingam, Nageswari 29 Sturm, Karl-Theodor 29 Wick, Thomas 27 Carlier, Guillaume 27 Dal Maso, Gianni 27 Maggi, Francesco 27 Ponsiglione, Marcello 27 Solombrino, Francesco 26 Bucur, Dorin 26 Friedrich, Manuel 26 Morini, Massimiliano 26 Pasqualetto, Enrico 26 Röckner, Michael 25 Cardaliaguet, Pierre 25 Fuchs, Martin 25 Leoni, Giovanni 25 Rossi, Riccarda 24 Gangbo, Wilfrid 23 Buttazzo, Giuseppe 23 Cannarsa, Piermarco 23 Magnani, Valentino 23 Pinamonti, Andrea 23 Segura de León, Sergio 23 Stefanelli, Ulisse 23 Wei, Juncheng 22 Burger, Martin 22 Focardi, Matteo 22 Honda, Shouhei 22 Li, Wuchen 22 Matthes, Daniel 22 Pallara, Diego 22 Pratelli, Aldo 22 Rajala, Tapio 22 Rindler, Filip 21 Babadjian, Jean-François 21 Cavalletti, Fabio 21 Cicalese, Marco 21 De Cicco, Virginia 21 Dipierro, Serena 21 Marigonda, Antonio 21 Schönlieb, Carola-Bibiane 21 Slepčev, Dejan 20 Colombo, Maria 20 Crismale, Vito 20 Francfort, Gilles A. 20 Leonardi, Gian Paolo 20 McCann, Robert J. 20 Mucci, Domenico 20 Serfaty, Sylvia 20 Sire, Yannick 20 Trevisan, Dario 20 Zappale, Elvira 19 Balogh, Zoltán M. 19 Bildhauer, Michael 19 Bredies, Kristian 19 Bruè, Elia 19 Fornasier, Massimo 19 Goldman, Michael 19 Miranda, Michele jun. 19 Orlandi, Giandomenico 19 Rumpf, Martin 19 Stefani, Giorgio 19 Wirth, Benedikt 18 Farina, Alberto 18 Kružík, Martin 18 Moll, Salvador 18 Rossi, Julio Daniel 18 Tomarelli, Franco 17 Bressan, Alberto 17 Garroni, Adriana 17 Hajłasz, Piotr 17 Hynd, Ryan 17 Jabin, Pierre-Emmanuel 17 Leaci, Antonio ...and 5,801 more Authors all top 5 Cited in 551 Serials 425 Calculus of Variations and Partial Differential Equations 288 Archive for Rational Mechanics and Analysis 218 Journal of Functional Analysis 214 Nonlinear Analysis. 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Série VI 17 Bernoulli 17 Milan Journal of Mathematics 17 Annales Fennici Mathematici 16 Acta Applicandae Mathematicae 16 International Journal of Computer Vision ...and 451 more Serials all top 5 Cited in 59 Fields 2,938 Partial differential equations (35-XX) 2,626 Calculus of variations and optimal control; optimization (49-XX) 903 Differential geometry (53-XX) 864 Mechanics of deformable solids (74-XX) 751 Probability theory and stochastic processes (60-XX) 723 Numerical analysis (65-XX) 569 Functional analysis (46-XX) 559 Real functions (26-XX) 550 Measure and integration (28-XX) 479 Global analysis, analysis on manifolds (58-XX) 394 Fluid mechanics (76-XX) 384 Statistical mechanics, structure of matter (82-XX) 336 Operator theory (47-XX) 334 Information and communication theory, circuits (94-XX) 295 Computer science (68-XX) 247 Biology and other natural sciences (92-XX) 241 Operations research, mathematical programming (90-XX) 220 Functions of a complex variable (30-XX) 215 Dynamical systems and ergodic theory (37-XX) 206 Ordinary differential equations (34-XX) 172 Statistics (62-XX) 167 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 147 Potential theory (31-XX) 142 Convex and discrete geometry (52-XX) 142 Systems theory; control (93-XX) 99 General topology (54-XX) 99 Quantum theory (81-XX) 86 Integral equations (45-XX) 80 Harmonic analysis on Euclidean spaces (42-XX) 77 Mechanics of particles and systems (70-XX) 75 Topological groups, Lie groups (22-XX) 74 Geometry (51-XX) 51 Combinatorics (05-XX) 47 Optics, electromagnetic theory (78-XX) 44 Approximations and expansions (41-XX) 43 Abstract harmonic analysis (43-XX) 38 Geophysics (86-XX) 37 Classical thermodynamics, heat transfer (80-XX) 34 Difference and functional equations (39-XX) 31 Several complex variables and analytic spaces (32-XX) 31 Manifolds and cell complexes (57-XX) 27 General and overarching topics; collections (00-XX) 26 Relativity and gravitational theory (83-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 21 Group theory and generalizations (20-XX) 15 Algebraic topology (55-XX) 13 Number theory (11-XX) 12 Algebraic geometry (14-XX) 10 Integral transforms, operational calculus (44-XX) 6 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 5 Astronomy and astrophysics (85-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Special functions (33-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. 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