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## Ambrosio, Luigi

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 Author ID: ambrosio.luigi Published as: Ambrosio, Luigi; Ambrosio, L.; Ambrosio, Luigo External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 223 Publications since 1985, including 17 Books Reviewing Activity: 155 Reviews
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#### Co-Authors

 43 single-authored 21 Savaré, Giuseppe 17 Figalli, Alessio 14 Pallara, Diego 13 Gigli, Nicola 8 Buttazzo, Giuseppe 7 Trevisan, Dario 6 Crippa, Gianluca 6 De Lellis, Camillo 5 Colombo, Maria 5 De Philippis, Guido 5 Kirchheim, Bernd 5 Miranda, Michele jun. 4 Alberti, Giovanni 4 Braides, Andrea 4 Di Marino, Simone 4 Fusco, Nicola 4 Honda, Shouhei 4 Maniglia, Stefania 4 Mondino, Andrea 4 Soner, Halil Mete 3 Bruè, Elia 3 Da Prato, Giuseppe 3 Dal Maso, Gianni 3 De Giorgi, Ennio 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 Caffarelli, Luis Ángel 2 Cannarsa, Piermarco 2 Fonseca, Irene 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 Mortola, Stefano 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 Serra Cassano, Francesco 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 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 Gangbo, Wilfrid 1 Garroni, Adriana 1 Giga, Yoshikazu 1 Giovannetti, Vittorio 1 Gobbino, Massimo 1 Goldys, Beniamin 1 Hutchinson, John Edward 1 Katz, Mikhail G. 1 Kleiner, Bruce 1 Le Donne, Enrico 1 Leaci, Antonio 1 LeFloch, Philippe Gerard 1 Lemenant, Antoine 1 Lisini, Stefano 1 Marcellini, Paolo ...and 34 more Co-Authors
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#### Serials

 11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 8 Communications on Pure and Applied Mathematics 8 Journal of Functional Analysis 7 Archive for Rational Mechanics and Analysis 6 Manuscripta Mathematica 6 Calculus of Variations and Partial Differential Equations 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 The Journal of Geometric Analysis 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 4 Discrete and Continuous Dynamical Systems 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 Analysis and Geometry in Metric Spaces 3 Appunti dei Corsi Tenuti da Docenti della Scuola 2 Inventiones Mathematicae 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 Lecture Notes in Mathematics 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 Equations 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 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 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 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie)
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#### Fields

 137 Calculus of variations and optimal control; optimization (49-XX) 73 Partial differential equations (35-XX) 42 Measure and integration (28-XX) 33 Functional analysis (46-XX) 29 Real functions (26-XX) 29 Differential geometry (53-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 Dynamical systems and ergodic theory (37-XX) 10 Potential theory (31-XX) 9 General and overarching topics; collections (00-XX) 9 Functions of a complex variable (30-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-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 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 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

191 Publications have been cited 7,877 times in 4,681 Documents Cited by Year
Functions of bounded variation and free discontinuity problems. Zbl 0957.49001
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
2000
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
2008
Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
2005
Approximation of functionals depending on jumps by elliptic functionals via $$\Gamma$$-convergence. Zbl 0722.49020
Ambrosio, Luigi; Tortorelli, Vincenzo Maria
1990
Transport equation and Cauchy problem for BV vector fields. Zbl 1075.35087
Ambrosio, Luigi
2004
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
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
2014
Topics on analysis in metric spaces. Zbl 1080.28001
Ambrosio, Luigi; Tilli, Paolo
2004
Entire solutions of semilinear elliptic equations in $$\mathbb{R}^{3}$$ and a conjecture of De Giorgi. Zbl 0968.35041
Ambrosio, Luigi; Cabré, Xavier
2000
Currents in metric spaces. Zbl 0984.49025
Ambrosio, Luigi; Kirchheim, Bernd
2000
On the approximation of free discontinuity problems. Zbl 0776.49029
Ambrosio, Luigi; Tortorelli, V. M.
1992
Lecture notes on optimal transport problems. Zbl 1047.35001
Ambrosio, Luigi
2003
Rectifiable sets in metric and Banach spaces. Zbl 0966.28002
Ambrosio, Luigi; Kirchheim, Bernd
2000
Fine properties of functions with bounded deformation. Zbl 0890.49019
Ambrosio, Luigi; Coscia, Alessandra; Dal Maso, Gianni
1997
Existence theory for a new class of variational problems. Zbl 0711.49064
Ambrosio, L.
1990
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
2015
A compactness theorem for a new class of functions of bounded variation. Zbl 0767.49001
Ambrosio, L.
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
2001
Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca
2011
Riemannian Ricci curvature lower bounds in metric measure spaces with $$\sigma$$-finite measure. Zbl 1317.53060
Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio
2015
Level set approach to mean curvature flow in arbitrary codimension. Zbl 0868.35046
Ambrosio, Luigi; Soner, Halil Mete
1996
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
1993
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
2013
A general chain rule for distributional derivatives. Zbl 0685.49027
Ambrosio, L.; Dal Maso, G.
1990
Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002
Ambrosio, Luigi
2002
Metric space valued functions of bounded variation. Zbl 0724.49027
Ambrosio, Luigi
1990
Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029
Ambrosio, Luigi; Braides, Andrea
1990
On the relaxation in $$BV(\Omega ;\mathbb{R}^ m)$$ of quasi-convex integrals. Zbl 0769.49009
Ambrosio, Luigi; Dal Maso, Gianni
1992
Existence and stability results in the $$L^1$$ theory of optimal transportation. Zbl 1065.49026
Ambrosio, Luigi; Pratelli, Aldo
2003
A geometrical approach to monotone functions in $$\mathbb{R}^n$$. Zbl 0934.49025
Alberti, Giovanni; Ambrosio, Luigi
1999
Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces. Zbl 1002.28004
Ambrosio, Luigi
2001
Special functions of bounded variation in doubling metric measure spaces. Zbl 1089.49039
Ambrosio, L.; Miranda, M. jun.; Pallara, D.
2004
A new type of functional in the calculus of variations. Zbl 0715.49014
De Giorgi, Ennio; Ambrosio, Luigi
1988
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
2008
Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024
Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel
2001
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
1999
Equivalent definitions of $$BV$$ space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
2014
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.; Salsa, S. (ed.); Villani, Cédric
2003
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
2014
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
2009
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
2008
Minimizing movements. Zbl 0957.49029
Ambrosio, Luigi
1995
Optimal mass transportation in the Heisenberg group. Zbl 1076.49023
Ambrosio, L.; Rigot, S.
2004
Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide
2006
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
2008
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
2008
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
2009
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
2008
Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028
Ambrosio, Luigi; Braides, Andrea
1990
On the singularities of convex functions. Zbl 0784.49011
Alberti, G.; Ambrosio, L.; Cannarsa, P.
1992
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
2014
Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025
Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe
1989
Functionals with linear growth defined on vector valued BV functions. Zbl 0662.49007
Ambrosio, L.; Mortola, S.; Tortorelli, V. M.
1991
A new proof of the SBV compactness theorem. Zbl 0837.49011
Ambrosio, Luigi
1995
A measure theoretic approach to higher codimension mean curvature flows. Zbl 1043.35136
Ambrosio, Luigi; Soner, Halil Mete
1997
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
2008
Existence of optimal transport maps for crystalline norms. Zbl 1076.49022
Ambrosio, L.; Kirchheim, B.; Pratelli, A.
2004
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
2010
Variational problems in SBV and image segmentation. Zbl 0697.49004
Ambrosio, Luigi
1989
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
2016
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
2015
Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045
Ambrosio, L.; Braides, A.
1995
On the lower semicontinuity of quasiconvex integrals in $$\text{SBV}(\Omega ,\mathbf R^ k)$$. Zbl 0817.49017
Ambrosio, Luigi
1994
A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037
Ambrosio, Luigi; Masnou, Simon
2003
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
1997
Traces and fine properties of a $$BD$$ class of vector fields and applications. Zbl 1091.35007
Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania
2005
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
2011
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.
2009
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
2014
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
2011
Geometric evolution problems, distance function and viscosity solutions. Zbl 0956.35002
Ambrosio, L.
2000
On the propagation of singularities of semi-convex functions. Zbl 0874.49041
Ambrosio, L.; Cannarsa, P.; Soner, H. M.
1993
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008
Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico
2009
Introduction to geometric measure theory and minimal surfaces. (Corso introduttivo alla teoria geometrica della misura ed alle superfici minime.) Zbl 0977.49028
Ambrosio, Luigi
1997
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
2012
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
2009
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
2004
A boundary-value problem for nematic liquid crystals with a variable degree of orientation. Zbl 0736.49031
Ambrosio, Luigi; Virga, Epifanio G.
1991
Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation. Zbl 0713.49005
Ambrosio, Luigi
1990
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032
Ambrosio, Luigi; De Lellis, Camillo
2004
Weak differentiability of BV functions on stratified groups. Zbl 1048.49030
Ambrosio, Luigi; Magnani, Valentino
2003
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow. Zbl 1370.26014
Lecumberry, Myriam; Ambrosio, Luigi; Maniglia, Stefania
2005
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
2009
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
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
2017
Partial regularity of free discontinuity sets. I. Zbl 0896.49023
Ambrosio, Luigi; Pallara, Diego
1997
Selected topics on “Analysis in metric spaces”. Zbl 1084.28500
Ambrosio, Luigi; Tilli, Paolo
2000
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
2008
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
2015
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
2016
Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009
Ambrosio, Luigi; Gigli, Nicola
2008
A PDE approach to a 2-dimensional matching problem. Zbl 07030875
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
2019
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
2014
Partial regularity for quasi minimizers of perimeter. Zbl 0943.49032
Ambrosio, Luigi; Paolini, Emanuele
1999
Regularity of solutions of a degenerate elliptic variational problem. Zbl 0716.49031
Ambrosio, Luigi
1990
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 07161621
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
2019
On the approximation of mean densities of random closed sets. Zbl 1253.60007
Ambrosio, Luigi; Capasso, Vincenzo; Villa, Elena
2009
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
2013
Curvature and distance function from a manifold. Zbl 0941.53009
Ambrosio, Luigi; Mantegazza, Carlo
1998
Variational approximation of a second order free discontinuity problem in computer vision. Zbl 0996.46014
Ambrosio, Luigi; Faina, Loris; March, Riccardo
2001
Embedding of $$\mathrm{RCD}^\ast (K,N)$$ spaces in $$L^2$$ via eigenfunctions. Zbl 07332867
Ambrosio, Luigi; Honda, Shouhei; Portegies, Jacobus W.; Tewodrose, David
2021
Linear extension operators between spaces of Lipschitz maps and optimal transport. Zbl 1445.49024
Ambrosio, Luigi; Puglisi, Daniele
2020
Critical weak-$$L^p$$ differentiability of singular integrals. Zbl 1459.42017
Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy
2020
A PDE approach to a 2-dimensional matching problem. Zbl 07030875
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
2019
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 07161621
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
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
2019
Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
2019
Finer estimates on the $$2$$-dimensional matching problem. (Estimations plus fines sur le problème de couplage.) Zbl 1434.60054
Ambrosio, Luigi; Glaudo, Federico
2019
On the optimal map in the $$2$$-dimensional random matching problem. Zbl 07130132
Ambrosio, Luigi; Glaudo, Federico; Trevisan, Dario
2019
Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 07250438
Ambrosio, Luigi
2018
Local spectral convergence in $$\mathrm{RCD}^\ast(K, N)$$ spaces. Zbl 1402.53034
Ambrosio, Luigi; Honda, Shouhei
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
2018
Lectures on elliptic partial differential equations. Zbl 1416.35001
Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa
2018
DC calculus. Zbl 1395.58011
Ambrosio, Luigi; Bertrand, Jérôme
2018
Gaussian optimizers for entropic inequalities in quantum information. Zbl 1395.81062
De Palma, Giacomo; Trevisan, Dario; Giovannetti, Vittorio; Ambrosio, Luigi
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
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.
2018
Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067
Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas
2018
Anisotropic surface measures as limits of volume fractions. Zbl 1408.49008
Ambrosio, Luigi; Comi, Giovanni E.
2018
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
2017
Lecture notes on the DiPerna-Lions theory in abstract measure spaces. Zbl 1402.35003
Ambrosio, Luigi; Trevisan, Dario
2017
On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
2017
Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. Zbl 1380.37039
Ambrosio, Luigi
2017
Perimeter as relaxed Minkowski content in metric measure spaces. Zbl 1359.28002
Ambrosio, Luigi; Di Marino, Simone; Gigli, Nicola
2017
Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
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
2016
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
2016
Gaussian-type isoperimetric inequalities in $$\mathsf{RCD}(K,\infty)$$ probability spaces for positive $$K$$. Zbl 1351.49056
Ambrosio, Luigi; Mondino, Andrea
2016
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075
Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe
2016
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
2016
Sobolev and bounded variation functions on metric measure spaces. Zbl 1362.53002
Ambrosio, Luigi; Ghezzi, Roberta
2016
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
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
2015
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
2015
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
2015
On the duality between $$p$$-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
2015
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
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
2015
Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
2015
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
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
2014
Equivalent definitions of $$BV$$ space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
2014
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
2014
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
2014
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
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
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
2014
Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces. Zbl 1283.49055
Ambrosio, Luigi; Rajala, Tapio
2014
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
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
2013
A variational model for plastic slip and its regularization via $$\Gamma$$-convergence. Zbl 1326.74112
Ambrosio, Luigi; Lemenant, Antoine; Royer-Carfagni, Gianni
2013
A nonautonomous chain rule in $$W ^{1,p }$$ and $$BV$$. Zbl 1270.26013
Ambrosio, Luigi; Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido
2013
On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. Zbl 1282.28002
Ambrosio, Luigi; Figalli, Alessio; Runa, Eris
2013
Compactness results for normal currents and the plateau problem in dual Banach spaces. Zbl 1275.49073
Ambrosio, Luigi; Schmidt, Thomas
2013
Flat chains of finite size in metric spaces. Zbl 1261.49013
Ambrosio, Luigi; Ghiraldin, Francesco
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
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
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
2012
Bounded variation with respect to a log-concave measure. Zbl 1257.26009
Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego
2012
Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca
2011
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
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
2011
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces. Zbl 1228.60063
Ambrosio, Luigi; Figalli, Alessio
2011
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
2011
Flat currents modulo $$p$$ in metric spaces and filling radius inequalities. Zbl 1222.49057
Ambrosio, Luigi; Katz, Mikhail G.
2011
The flow associated to weakly differentiable vector fields: recent results and open problems. Zbl 1248.35048
Ambrosio, Luigi
2011
Rectifiability of flat chains in Banach spaces with coefficients in $$\mathbb Z_p$$. Zbl 1229.49049
Ambrosio, Luigi; Wenger, Stefan
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.
2011
Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033
Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd
2011
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
2010
Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability. Zbl 1196.28023
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
2010
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions. Zbl 1203.35192
Ambrosio, Luigi; Friesecke, Gero; Giannoulis, Johannes
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
2010
Towards a theory of BV functions in abstract Wiener spaces. Zbl 1200.26011
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
2010
Locality of the perimeter in Carnot groups and chain rule. Zbl 1203.28001
Ambrosio, Luigi; Scienza, Matteo
2010
BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego
2010
Infinite-dimensional porous media equations and optimal transportation. Zbl 1239.35064
Ambrosio, Luigi; Mainini, Edoardo
2010
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
2009
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
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.
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
2009
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
2009
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
2009
On the approximation of mean densities of random closed sets. Zbl 1253.60007
Ambrosio, Luigi; Capasso, Vincenzo; Villa, Elena
2009
Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications. Zbl 1180.35065
Ambrosio, Luigi; Frid, Hermano; Silva, Jean
2009
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
2008
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
2008
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
2008
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
2008
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
2008
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
2008
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
2008
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
2008
Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009
Ambrosio, Luigi; Gigli, Nicola
2008
Uniqueness of signed measures solving the continuity equation for Osgood vector fields. Zbl 1204.35069
Ambrosio, Luigi; Bernard, Patrick
2008
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
2007
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
2007
Very weak notions of differentiability. Zbl 1167.26001
Ambrosio, Luigi; Malý, Jan
2007
Necessary optimality conditions for geodesics in weighted Wasserstein spaces. Zbl 1223.35197
Ambrosio, Luigi; Santambrogio, Filippo
2007
Implicit constitutive equations in the modeling of bimodular materials: An application to biomaterials. Zbl 1129.74005
Mollica, Francesco; Ventre, Maurizio; Sarracino, Fernando; Ambrosio, Luigi; Nicolais, Luigi
2007
...and 91 more Documents
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#### Cited by 3,949 Authors

 101 Ambrosio, Luigi 54 Figalli, Alessio 53 Novaga, Matteo 53 Valdinoci, Enrico 48 Carrillo de la Plata, José Antonio 42 Chambolle, Antonin 40 Gigli, Nicola 39 Savaré, Giuseppe 37 Fonseca, Irene 36 Santambrogio, Filippo 35 Braides, Andrea 35 Fusco, Nicola 33 Conti, Sergio 32 Caselles Costa, Vicent 32 Mazón Ruiz, José M. 31 Crippa, Gianluca 29 Bellettini, Giovanni 29 Lahti, Panu 27 De Philippis, Guido 27 Giacomini, Alessandro 26 De Lellis, Camillo 25 Shanmugalingam, Nageswari 24 Fuchs, Martin 24 Röckner, Michael 23 Bogachev, Vladimir Igorevich 23 Cannarsa, Piermarco 22 Dal Maso, Gianni 22 Leoni, Giovanni 22 Mielke, Alexander 22 Peletier, Mark Adriaan 21 Bianchini, Stefano 21 Bucur, Dorin 21 Pratelli, Aldo 20 Carlier, Guillaume 20 Focardi, Matteo 20 Morini, Massimiliano 20 Sturm, Karl-Theodor 19 Rossi, Riccarda 18 Bildhauer, Michael 18 Cardaliaguet, Pierre 18 Gangbo, Wilfrid 18 Maggi, Francesco 18 Magnani, Valentino 18 Miranda, Michele jun. 18 Serfaty, Sylvia 18 Sire, Yannick 18 Wei, Juncheng 17 Farina, Alberto 17 Francfort, Gilles A. 17 Friedrich, Manuel 17 McCann, Robert J. 17 Mondino, Andrea 17 Orlandi, Giandomenico 17 Pallara, Diego 17 Pinamonti, Andrea 17 Ponsiglione, Marcello 17 Stefanelli, Ulisse 16 Balogh, Zoltán M. 16 Buttazzo, Giuseppe 16 Dipierro, Serena 16 Leonardi, Gian Paolo 16 Marigonda, Antonio 16 Rossi, Julio Daniel 16 Schönlieb, Carola-Bibiane 16 Solombrino, Francesco 16 Wick, Thomas 15 Alberti, Giovanni 15 Da Prato, Giuseppe 15 De Cicco, Virginia 15 Flandoli, Franco 15 Jabin, Pierre-Emmanuel 15 Luo, Dejun 15 Rindler, Filip 15 Wenger, Stefan 14 Andreu, Fuensanta 14 Cavalletti, Fabio 14 Cianchi, Andrea 14 Colombo, Maria 14 Crasta, Graziano 14 Fragalà, Ilaria 14 Honda, Shouhei 14 Ignat, Radu 14 Omari, Pierpaolo 14 Rajala, Tapio 14 Shaposhnikov, Stanislav V. 14 Wirth, Benedikt 13 Babadjian, Jean-François 13 Bouchitté, Guy 13 Burger, Martin 13 Cicalese, Marco 13 Crismale, Vito 13 Garroni, Adriana 13 Kružík, Martin 13 Millot, Vincent 13 Mucci, Domenico 13 Ohta, Shin-ichi 13 Rossi, Francesco 13 Savin, Ovidiu V. 13 Serra Cassano, Francesco 12 Bessi, Ugo ...and 3,849 more Authors
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#### Cited in 429 Serials

 313 Calculus of Variations and Partial Differential Equations 233 Archive for Rational Mechanics and Analysis 158 Journal of Functional Analysis 144 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 137 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 132 Journal of Differential Equations 117 Journal of Mathematical Analysis and Applications 112 Journal de Mathématiques Pures et Appliquées. Neuvième Série 101 SIAM Journal on Mathematical Analysis 93 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 72 Computer Methods in Applied Mechanics and Engineering 69 The Journal of Geometric Analysis 68 Transactions of the American Mathematical Society 67 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 67 Communications in Partial Differential Equations 65 Discrete and Continuous Dynamical Systems 55 Annali di Matematica Pura ed Applicata. Serie Quarta 53 Proceedings of the American Mathematical Society 53 Journal of Mathematical Imaging and Vision 52 Advances in Mathematics 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 42 Journal of the European Mathematical Society (JEMS) 38 Communications in Mathematical Physics 38 NoDEA. Nonlinear Differential Equations and Applications 38 Advances in Calculus of Variations 38 Analysis and Geometry in Metric Spaces 37 Manuscripta Mathematica 37 Journal of Mathematical Sciences (New York) 36 Journal of Computational Physics 34 Communications on Pure and Applied Mathematics 33 Mathematische Annalen 31 SIAM Journal on Imaging Sciences 30 Potential Analysis 29 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 28 Applied Mathematics and Optimization 28 Discrete and Continuous Dynamical Systems. Series S 27 Revista Matemática Iberoamericana 27 Communications in Contemporary Mathematics 26 Inventiones Mathematicae 26 Mathematische Zeitschrift 24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 Rendiconti del Seminario Matematico della Università di Padova 22 SIAM Journal on Control and Optimization 22 Journal of Nonlinear Science 22 Inverse Problems and Imaging 21 Journal für die Reine und Angewandte Mathematik 21 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 21 Geometric and Functional Analysis. GAFA 21 Journal of Elasticity 20 Probability Theory and Related Fields 19 Journal of Statistical Physics 18 Journal d’Analyse Mathématique 18 Journal of Scientific Computing 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Stochastic Processes and their Applications 17 Duke Mathematical Journal 17 Numerische Mathematik 16 Physica D 16 Journal of Convex Analysis 16 Interfaces and Free Boundaries 16 Journal of Evolution Equations 16 Milan Journal of Mathematics 15 Journal of the Mechanics and Physics of Solids 15 Nonlinearity 15 Journal of Optimization Theory and Applications 15 SIAM Journal on Applied Mathematics 15 Communications on Pure and Applied Analysis 14 Inverse Problems 14 Journal of Mathematical Physics 14 The Annals of Probability 14 International Journal for Numerical Methods in Engineering 14 Memoirs of the American Mathematical Society 14 Acta Applicandae Mathematicae 14 Annales Academiae Scientiarum Fennicae. Mathematica 13 Quarterly of Applied Mathematics 13 Bulletin des Sciences Mathématiques 13 Nonlinear Analysis. Real World Applications 13 Networks and Heterogeneous Media 12 Mathematics of Computation 12 Journal of Dynamics and Differential Equations 12 Continuum Mechanics and Thermodynamics 12 SIAM Journal on Scientific Computing 12 Foundations of Computational Mathematics 12 Journal of Fixed Point Theory and Applications 11 Mathematical Methods in the Applied Sciences 11 Geometriae Dedicata 11 SIAM Journal on Numerical Analysis 11 European Journal of Applied Mathematics 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Journal of Hyperbolic Differential Equations 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Annales de l’Institut Fourier 10 Numerical Functional Analysis and Optimization 10 Doklady Mathematics 10 Mathematics and Mechanics of Solids 10 Kinetic and Related Models 10 Set-Valued and Variational Analysis 10 Science China. Mathematics ...and 329 more Serials
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#### Cited in 58 Fields

 1,939 Partial differential equations (35-XX) 1,807 Calculus of variations and optimal control; optimization (49-XX) 579 Differential geometry (53-XX) 554 Mechanics of deformable solids (74-XX) 451 Probability theory and stochastic processes (60-XX) 447 Numerical analysis (65-XX) 382 Real functions (26-XX) 360 Functional analysis (46-XX) 346 Measure and integration (28-XX) 325 Global analysis, analysis on manifolds (58-XX) 255 Fluid mechanics (76-XX) 255 Statistical mechanics, structure of matter (82-XX) 220 Operator theory (47-XX) 217 Information and communication theory, circuits (94-XX) 173 Computer science (68-XX) 150 Biology and other natural sciences (92-XX) 137 Dynamical systems and ergodic theory (37-XX) 136 Ordinary differential equations (34-XX) 135 Functions of a complex variable (30-XX) 130 Operations research, mathematical programming (90-XX) 92 Convex and discrete geometry (52-XX) 92 Systems theory; control (93-XX) 90 Potential theory (31-XX) 84 Statistics (62-XX) 80 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 General topology (54-XX) 61 Topological groups, Lie groups (22-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 54 Integral equations (45-XX) 53 Mechanics of particles and systems (70-XX) 51 Quantum theory (81-XX) 46 Geometry (51-XX) 29 Geophysics (86-XX) 27 Approximations and expansions (41-XX) 27 Abstract harmonic analysis (43-XX) 25 Several complex variables and analytic spaces (32-XX) 25 Optics, electromagnetic theory (78-XX) 25 Classical thermodynamics, heat transfer (80-XX) 22 Combinatorics (05-XX) 20 Manifolds and cell complexes (57-XX) 19 Difference and functional equations (39-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Group theory and generalizations (20-XX) 13 Relativity and gravitational theory (83-XX) 11 Algebraic topology (55-XX) 7 Number theory (11-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Algebraic geometry (14-XX) 4 Mathematical logic and foundations (03-XX) 4 Integral transforms, operational calculus (44-XX) 3 Astronomy and astrophysics (85-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

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