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Ambrosio, Luigi

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Author ID: ambrosio.luigi Recent zbMATH articles by "Ambrosio, Luigi"
Published as: Ambrosio, L.; Ambrosio, Luigi; Ambrosio, Luigo
External Links: MGP · Wikidata · GND
Documents Indexed: 220 Publications since 1985, including 16 Books
Reviewing Activity: 155 Reviews
all top 5

Co-Authors

43 single-authored
20 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 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 Brézis, Haïm
2 Bruè, Elia
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 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 Bernard, Patrick
1 Bouchut, François
1 Brenier, Yann
1 Capasso, Vincenzo
1 Carfagni, Gianni Royer
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 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
1 March, Riccardo
1 Martinazzi, Luca
...and 32 more Co-Authors
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Serials

10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 Journal of Functional Analysis
7 Archive for Rational Mechanics and Analysis
7 Communications on Pure and Applied Mathematics
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)

Publications by Year

Citations contained in zbMATH Open

187 Publications have been cited 7,745 times in 4,581 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
490
2008
Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
385
2005
Approximation of functionals depending on jumps by elliptic functionals via \(\Gamma\)-convergence. Zbl 0722.49020
Ambrosio, Luigi; Tortorelli, Vincenzo Maria
275
1990
Transport equation and Cauchy problem for BV vector fields. Zbl 1075.35087
Ambrosio, Luigi
259
2004
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
161
2014
Topics on analysis in metric spaces. Zbl 1080.28001
Ambrosio, Luigi; Tilli, Paolo
140
2004
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
139
2014
Entire solutions of semilinear elliptic equations in \(\mathbb{R}^{3}\) and a conjecture of De Giorgi. Zbl 0968.35041
Ambrosio, Luigi; Cabré, Xavier
136
2000
Currents in metric spaces. Zbl 0984.49025
Ambrosio, Luigi; Kirchheim, Bernd
133
2000
On the approximation of free discontinuity problems. Zbl 0776.49029
Ambrosio, Luigi; Tortorelli, V. M.
126
1992
Lecture notes on optimal transport problems. Zbl 1047.35001
Ambrosio, Luigi
115
2003
Rectifiable sets in metric and Banach spaces. Zbl 0966.28002
Ambrosio, Luigi; Kirchheim, Bernd
104
2000
Fine properties of functions with bounded deformation. Zbl 0890.49019
Ambrosio, Luigi; Coscia, Alessandra; Dal Maso, Gianni
96
1997
Existence theory for a new class of variational problems. Zbl 0711.49064
Ambrosio, L.
96
1990
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
93
2015
A compactness theorem for a new class of functions of bounded variation. Zbl 0767.49001
Ambrosio, L.
89
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
88
2001
Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca
79
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
78
2015
Level set approach to mean curvature flow in arbitrary codimension. Zbl 0868.35046
Ambrosio, Luigi; Soner, Halil Mete
69
1996
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
67
1993
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
64
2013
Metric space valued functions of bounded variation. Zbl 0724.49027
Ambrosio, Luigi
64
1990
A general chain rule for distributional derivatives. Zbl 0685.49027
Ambrosio, L.; Dal Maso, G.
63
1990
Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002
Ambrosio, Luigi
61
2002
On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals. Zbl 0769.49009
Ambrosio, Luigi; Dal Maso, Gianni
59
1992
Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029
Ambrosio, Luigi; Braides, Andrea
59
1990
Existence and stability results in the \(L^1\) theory of optimal transportation. Zbl 1065.49026
Ambrosio, Luigi; Pratelli, Aldo
57
2003
A geometrical approach to monotone functions in \(\mathbb{R}^n\). Zbl 0934.49025
Alberti, Giovanni; Ambrosio, Luigi
56
1999
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
53
2003
Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces. Zbl 1002.28004
Ambrosio, Luigi
53
2001
Special functions of bounded variation in doubling metric measure spaces. Zbl 1089.49039
Ambrosio, L.; Miranda, M. jun.; Pallara, D.
52
2004
A new type of functional in the calculus of variations. Zbl 0715.49014
De Giorgi, Ennio; Ambrosio, Luigi
52
1988
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
51
2008
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
51
1999
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
49
2009
Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024
Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel
49
2001
Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
48
2014
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
47
2008
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
46
2014
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
44
2008
Minimizing movements. Zbl 0957.49029
Ambrosio, Luigi
44
1995
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
43
2008
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
43
2008
Optimal mass transportation in the Heisenberg group. Zbl 1076.49023
Ambrosio, L.; Rigot, S.
43
2004
Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide
42
2006
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
40
2008
Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028
Ambrosio, Luigi; Braides, Andrea
40
1990
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
39
2009
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
37
2016
On the singularities of convex functions. Zbl 0784.49011
Alberti, G.; Ambrosio, L.; Cannarsa, P.
36
1992
Functionals with linear growth defined on vector valued BV functions. Zbl 0662.49007
Ambrosio, L.; Mortola, S.; Tortorelli, V. M.
36
1991
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
35
2015
A new proof of the SBV compactness theorem. Zbl 0837.49011
Ambrosio, Luigi
35
1995
Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025
Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe
35
1989
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
34
2014
A measure theoretic approach to higher codimension mean curvature flows. Zbl 1043.35136
Ambrosio, Luigi; Soner, Halil Mete
34
1997
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
32
2010
Existence of optimal transport maps for crystalline norms. Zbl 1076.49022
Ambrosio, L.; Kirchheim, B.; Pratelli, A.
32
2004
Variational problems in SBV and image segmentation. Zbl 0697.49004
Ambrosio, Luigi
30
1989
On the lower semicontinuity of quasiconvex integrals in \(\text{SBV}(\Omega ,\mathbf R^ k)\). Zbl 0817.49017
Ambrosio, Luigi
29
1994
Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045
Ambrosio, L.; Braides, A.
28
1995
Traces and fine properties of a \(BD\) class of vector fields and applications. Zbl 1091.35007
Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania
26
2005
A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037
Ambrosio, Luigi; Masnou, Simon
26
2003
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
26
1997
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.
24
2009
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
23
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
22
2011
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
21
2014
Introduction to geometric measure theory and minimal surfaces. Zbl 0977.49028
Ambrosio, Luigi
21
1997
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
20
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
20
2009
On the propagation of singularities of semi-convex functions. Zbl 0874.49041
Ambrosio, L.; Cannarsa, P.; Soner, H. M.
20
1993
Geometric evolution problems, distance function and viscosity solutions. Zbl 0956.35002
Ambrosio, L.
19
2000
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
18
2012
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
18
2004
Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation. Zbl 0713.49005
Ambrosio, Luigi
18
1990
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032
Ambrosio, Luigi; De Lellis, Camillo
17
2004
Weak differentiability of BV functions on stratified groups. Zbl 1048.49030
Ambrosio, Luigi; Magnani, Valentino
17
2003
A boundary-value problem for nematic liquid crystals with a variable degree of orientation. Zbl 0736.49031
Ambrosio, Luigi; Virga, Epifanio G.
17
1991
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
16
2013
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
16
2009
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
16
2007
Curvature and distance function from a manifold. Zbl 0941.53009
Ambrosio, Luigi; Mantegazza, Carlo
16
1998
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
15
2017
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
15
2016
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
15
2008
Selected topics on “Analysis in metric spaces”. Zbl 1084.28500
Ambrosio, Luigi; Tilli, Paolo
15
2000
Partial regularity of free discontinuity sets. I. Zbl 0896.49023
Ambrosio, Luigi; Pallara, Diego
15
1997
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
14
2014
Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009
Ambrosio, Luigi; Gigli, Nicola
14
2008
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow. Zbl 1370.26014
Lecumberry, Myriam; Ambrosio, Luigi; Maniglia, Stefania
14
2005
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
13
2015
On the approximation of mean densities of random closed sets. Zbl 1253.60007
Ambrosio, Luigi; Capasso, Vincenzo; Villa, Elena
13
2009
Regularity of solutions of a degenerate elliptic variational problem. Zbl 0716.49031
Ambrosio, Luigi
13
1990
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
12
2015
Stability of flows associated to gradient vector fields and convergence of iterated transport maps. Zbl 1099.49027
Ambrosio, Luigi; Lisini, Stefano; Savaré, Giuseppe
12
2006
Variational approximation of a second order free discontinuity problem in computer vision. Zbl 0996.46014
Ambrosio, Luigi; Faina, Loris; March, Riccardo
12
2001
Partial regularity for quasi minimizers of perimeter. Zbl 0943.49032
Ambrosio, Luigi; Paolini, Emanuele
12
1999
A PDE approach to a 2-dimensional matching problem. Zbl 07030875
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
11
2019
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 07161621
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
10
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
7
2019
Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
4
2019
Finer estimates on the \(2\)-dimensional matching problem. Zbl 1434.60054
Ambrosio, Luigi; Glaudo, Federico
2
2019
On the optimal map in the \(2\)-dimensional random matching problem. Zbl 07130132
Ambrosio, Luigi; Glaudo, Federico; Trevisan, Dario
1
2019
Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces. Zbl 1402.53034
Ambrosio, Luigi; Honda, Shouhei
9
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
8
2018
Lectures on elliptic partial differential equations. Zbl 1416.35001
Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa
6
2018
DC calculus. Zbl 1395.58011
Ambrosio, Luigi; Bertrand, Jérôme
6
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
5
2018
Gaussian optimizers for entropic inequalities in quantum information. Zbl 1395.81062
De Palma, Giacomo; Trevisan, Dario; Giovannetti, Vittorio; Ambrosio, Luigi
5
2018
Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 07250438
Ambrosio, Luigi
4
2018
Anisotropic surface measures as limits of volume fractions. Zbl 1408.49008
Ambrosio, Luigi; Comi, Giovanni E.
3
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.
3
2018
Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067
Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas
3
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
15
2017
Lecture notes on the DiPerna-Lions theory in abstract measure spaces. Zbl 1402.35003
Ambrosio, Luigi; Trevisan, Dario
10
2017
On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
9
2017
Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. Zbl 1380.37039
Ambrosio, Luigi
7
2017
Perimeter as relaxed Minkowski content in metric measure spaces. Zbl 1359.28002
Ambrosio, Luigi; Di Marino, Simone; Gigli, Nicola
5
2017
Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
1
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
37
2016
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
15
2016
Gaussian-type isoperimetric inequalities in \(\mathsf{RCD}(K,\infty)\) probability spaces for positive \(K\). Zbl 1351.49056
Ambrosio, Luigi; Mondino, Andrea
9
2016
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075
Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe
8
2016
Sobolev and bounded variation functions on metric measure spaces. Zbl 1362.53002
Ambrosio, Luigi; Ghezzi, Roberta
3
2016
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
3
2016
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
93
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
78
2015
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
35
2015
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
13
2015
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
12
2015
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
10
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
9
2015
Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
2
2015
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
161
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
139
2014
Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
48
2014
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
46
2014
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
34
2014
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
21
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
14
2014
Perimeter of sets and BMO-type norms. Zbl 1316.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haïm; Figalli, Alessio
6
2014
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
64
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
16
2013
A variational model for plastic slip and its regularization via \(\Gamma \)-convergence. Zbl 1326.74112
Ambrosio, Luigi; Lemenant, Antoine; Royer-Carfagni, Gianni
8
2013
A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\). Zbl 1270.26013
Ambrosio, 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 1282.28002
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
3
2013
Flat chains of finite size in metric spaces. Zbl 1261.49013
Ambrosio, Luigi; Ghiraldin, Francesco
3
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
2
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
18
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
6
2012
Bounded variation with respect to a log-concave measure. Zbl 1257.26009
Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego
2
2012
Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca
79
2011
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
23
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
22
2011
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
10
2011
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces. Zbl 1228.60063
Ambrosio, Luigi; Figalli, Alessio
10
2011
The flow associated to weakly differentiable vector fields: recent results and open problems. Zbl 1248.35048
Ambrosio, Luigi
7
2011
Flat currents modulo \(p\) in metric spaces and filling radius inequalities. Zbl 1222.49057
Ambrosio, Luigi; Katz, Mikhail G.
7
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
Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033
Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd
3
2011
Rectifiability of flat chains in Banach spaces with coefficients in \(\mathbb Z_p\). Zbl 1229.49049
Ambrosio, Luigi; Wenger, Stefan
3
2011
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
32
2010
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions. Zbl 1203.35192
Ambrosio, Luigi; Friesecke, Gero; Giannoulis, Johannes
10
2010
Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability. Zbl 1196.28023
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
10
2010
Almost everywhere well-posedness of continuity equations with measure initial data. Zbl 1195.35202
Ambrosio, Luigi; Figalli, Alessio
6
2010
Locality of the perimeter in Carnot groups and chain rule. Zbl 1203.28001
Ambrosio, Luigi; Scienza, Matteo
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
BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego
3
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
49
2009
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
39
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.
24
2009
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
20
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
20
2009
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
16
2009
On the approximation of mean densities of random closed sets. Zbl 1253.60007
Ambrosio, Luigi; Capasso, Vincenzo; Villa, Elena
13
2009
Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications. Zbl 1180.35065
Ambrosio, Luigi; Frid, Hermano; Silva, Jean
5
2009
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
490
2008
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
51
2008
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
47
2008
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
44
2008
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
43
2008
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
43
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
40
2008
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
15
2008
Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009
Ambrosio, Luigi; Gigli, Nicola
14
2008
Uniqueness of signed measures solving the continuity equation for Osgood vector fields. Zbl 1204.35069
Ambrosio, Luigi; Bernard, Patrick
9
2008
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
16
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
11
2007
Very weak notions of differentiability. Zbl 1167.26001
Ambrosio, Luigi; Malý, Jan
9
2007
Necessary optimality conditions for geodesics in weighted Wasserstein spaces. Zbl 1223.35197
Ambrosio, Luigi; Santambrogio, Filippo
4
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
1
2007
Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide
42
2006
Stability of flows associated to gradient vector fields and convergence of iterated transport maps. Zbl 1099.49027
Ambrosio, Luigi; Lisini, Stefano; Savaré, Giuseppe
12
2006
Steepest descent flows and applications to spaces of probability measures. Zbl 1115.35012
Ambrosio, Luigi
1
2006
Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
385
2005
...and 87 more Documents
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Cited by 3,978 Authors

101 Ambrosio, Luigi
55 Figalli, Alessio
53 Valdinoci, Enrico
52 Carrillo de la Plata, José Antonio
50 Novaga, Matteo
40 Chambolle, Antonin
40 Savaré, Giuseppe
38 Fonseca, Irene
38 Gigli, Nicola
36 Santambrogio, Filippo
35 Fusco, Nicola
34 Braides, Andrea
33 Caselles Costa, Vicent
33 Conti, Sergio
32 Mazón Ruiz, José M.
31 Crippa, Gianluca
28 Bellettini, Giovanni
28 Lahti, Panu
27 Giacomini, Alessandro
26 De Lellis, Camillo
26 De Philippis, Guido
24 Fuchs, Martin
24 Shanmugalingam, Nageswari
23 Bogachev, Vladimir Igorevich
23 Leoni, Giovanni
22 Cannarsa, Piermarco
22 Dal Maso, Gianni
22 Röckner, Michael
21 Bianchini, Stefano
21 Maggi, Francesco
21 Mielke, Alexander
21 Morini, Massimiliano
21 Peletier, Mark Adriaan
20 Carlier, Guillaume
20 Sturm, Karl-Theodor
19 Bucur, Dorin
19 Focardi, Matteo
19 Gangbo, Wilfrid
19 Rossi, Riccarda
18 Bildhauer, Michael
18 Buttazzo, Giuseppe
18 Cardaliaguet, Pierre
18 Magnani, Valentino
18 Ponsiglione, Marcello
18 Pratelli, Aldo
18 Serfaty, Sylvia
18 Sire, Yannick
18 Wei, Juncheng
17 Farina, Alberto
17 Francfort, Gilles A.
17 Friedrich, Manuel
17 Schönlieb, Carola-Bibiane
17 Stefanelli, Ulisse
16 Balogh, Zoltán M.
16 De Cicco, Virginia
16 Dipierro, Serena
16 Leonardi, Gian Paolo
16 Marigonda, Antonio
16 McCann, Robert J.
16 Miranda, Michele jun.
16 Mondino, Andrea
16 Pallara, Diego
16 Pinamonti, Andrea
16 Rossi, Julio Daniel
16 Wick, Thomas
15 Alberti, Giovanni
15 Andreu, Fuensanta
15 Bouchitté, Guy
15 Luo, Dejun
15 Orlandi, Giandomenico
15 Rindler, Filip
15 Shaposhnikov, Stanislav V.
15 Solombrino, Francesco
15 Wenger, Stefan
14 Cianchi, Andrea
14 Colombo, Maria
14 Crasta, Graziano
14 Da Prato, Giuseppe
14 Flandoli, Franco
14 Ignat, Radu
14 Jabin, Pierre-Emmanuel
14 Omari, Pierpaolo
14 Savin, Ovidiu V.
14 Wirth, Benedikt
13 Babadjian, Jean-François
13 Burger, Martin
13 Fragalà, Ilaria
13 Garroni, Adriana
13 Kružík, Martin
13 Leaci, Antonio
13 Millot, Vincent
13 Ohta, Shin-ichi
13 Serra Cassano, Francesco
13 Slepčev, Dejan
12 Bessi, Ugo
12 Cavalletti, Fabio
12 Crismale, Vito
12 Erbar, Matthias
12 Honda, Shouhei
12 Jiang, Renjin
...and 3,878 more Authors
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Cited in 426 Serials

304 Calculus of Variations and Partial Differential Equations
225 Archive for Rational Mechanics and Analysis
160 Journal of Functional Analysis
149 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
129 Journal of Differential Equations
122 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
120 Journal of Mathematical Analysis and Applications
114 Journal de Mathématiques Pures et Appliquées. Neuvième Série
98 SIAM Journal on Mathematical Analysis
91 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
73 Computer Methods in Applied Mechanics and Engineering
68 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
66 Communications in Partial Differential Equations
65 Transactions of the American Mathematical Society
65 The Journal of Geometric Analysis
63 Discrete and Continuous Dynamical Systems
54 Advances in Mathematics
53 Annali di Matematica Pura ed Applicata. Serie Quarta
53 Proceedings of the American Mathematical Society
53 Journal of Mathematical Imaging and Vision
51 Comptes Rendus. Mathématique. Académie des Sciences, Paris
42 Journal of the European Mathematical Society (JEMS)
38 Communications in Mathematical Physics
38 Journal of Computational Physics
38 NoDEA. Nonlinear Differential Equations and Applications
37 Manuscripta Mathematica
37 Journal of Mathematical Sciences (New York)
37 Advances in Calculus of Variations
36 Analysis and Geometry in Metric Spaces
34 Communications on Pure and Applied Mathematics
32 Mathematische Annalen
31 SIAM Journal on Imaging Sciences
29 Potential Analysis
28 Discrete and Continuous Dynamical Systems. Series S
27 Communications in Contemporary Mathematics
26 Applied Mathematics and Optimization
26 Inventiones Mathematicae
26 Revista Matemática Iberoamericana
25 Mathematische Zeitschrift
24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
24 SIAM Journal on Control and Optimization
23 Rendiconti del Seminario Matematico della Università di Padova
23 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
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
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 Inverse Problems and Imaging
20 Probability Theory and Related Fields
19 Journal of Nonlinear Science
18 Journal d’Analyse Mathématique
18 Journal of the Mechanics and Physics of Solids
18 Physica D
18 Journal of Scientific Computing
18 Stochastic Processes and their Applications
17 Duke Mathematical Journal
17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
16 Journal of Statistical Physics
16 Numerische Mathematik
16 SIAM Journal on Applied Mathematics
16 Journal of Convex Analysis
15 Journal of Optimization Theory and Applications
15 Interfaces and Free Boundaries
15 Nonlinear Analysis. Real World Applications
15 Communications on Pure and Applied Analysis
15 Milan Journal of Mathematics
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 Bulletin des Sciences Mathématiques
14 Annales Academiae Scientiarum Fennicae. Mathematica
13 Quarterly of Applied Mathematics
13 Journal of Evolution Equations
13 Networks and Heterogeneous Media
12 Acta Applicandae Mathematicae
12 Journal of Dynamics and Differential Equations
12 Continuum Mechanics and Thermodynamics
12 Journal of Fixed Point Theory and Applications
11 Mathematical Methods in the Applied Sciences
11 Nonlinearity
11 Mathematics of Computation
11 Geometriae Dedicata
11 SIAM Journal on Numerical Analysis
11 European Journal of Applied Mathematics
11 Foundations of Computational Mathematics
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Numerical Functional Analysis and Optimization
10 Applied Mathematics Letters
10 The Annals of Applied Probability
10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 SIAM Journal on Optimization
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Doklady Mathematics
10 Mathematics and Mechanics of Solids
10 Journal of Hyperbolic Differential Equations
10 Kinetic and Related Models
10 Science China. Mathematics
10 Nonlinear Analysis. Theory, Methods & Applications
...and 326 more Serials
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Cited in 59 Fields

1,894 Partial differential equations (35-XX)
1,760 Calculus of variations and optimal control; optimization (49-XX)
551 Differential geometry (53-XX)
544 Mechanics of deformable solids (74-XX)
439 Probability theory and stochastic processes (60-XX)
433 Numerical analysis (65-XX)
376 Real functions (26-XX)
343 Functional analysis (46-XX)
337 Measure and integration (28-XX)
306 Global analysis, analysis on manifolds (58-XX)
251 Statistical mechanics, structure of matter (82-XX)
245 Fluid mechanics (76-XX)
216 Information and communication theory, circuits (94-XX)
215 Operator theory (47-XX)
172 Computer science (68-XX)
145 Biology and other natural sciences (92-XX)
133 Dynamical systems and ergodic theory (37-XX)
132 Functions of a complex variable (30-XX)
131 Ordinary differential equations (34-XX)
130 Operations research, mathematical programming (90-XX)
90 Potential theory (31-XX)
90 Convex and discrete geometry (52-XX)
90 Systems theory; control (93-XX)
86 Statistics (62-XX)
79 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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55 Harmonic analysis on Euclidean spaces (42-XX)
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44 Geometry (51-XX)
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26 Optics, electromagnetic theory (78-XX)
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24 Several complex variables and analytic spaces (32-XX)
19 Combinatorics (05-XX)
19 Difference and functional equations (39-XX)
18 Manifolds and cell complexes (57-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 Group theory and generalizations (20-XX)
12 Relativity and gravitational theory (83-XX)
11 Algebraic topology (55-XX)
7 Number theory (11-XX)
6 General and overarching topics; collections (00-XX)
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1 Nonassociative rings and algebras (17-XX)
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1 Mathematics education (97-XX)

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