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Author ID: savare.giuseppe Recent zbMATH articles by "Savaré, Giuseppe"
Published as: Savaré, Giuseppe; Savaré, G.; Savarè, Giuseppe
Homepage: http://www-dimat.unipv.it/savare/
External Links: ORCID · Google Scholar · dblp
all top 5

Serials

6 SIAM Journal on Mathematical Analysis
5 Journal of Functional Analysis
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Archive for Rational Mechanics and Analysis
4 Calculus of Variations and Partial Differential Equations
4 Discrete and Continuous Dynamical Systems
3 Journal of Differential Equations
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Communications on Pure and Applied Mathematics
2 Inventiones Mathematicae
2 Probability Theory and Related Fields
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Serie V. Memorie di Matemàtica
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Oberwolfach Reports
2 Discrete and Continuous Dynamical Systems. Series S
2 Nonlinear Analysis. Theory, Methods & Applications
1 IEEE Transactions on Information Theory
1 Advances in Mathematics
1 The Annals of Probability
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Calcolo
1 Duke Mathematical Journal
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the American Mathematical Society
1 Rendiconti. Scienze Matemàtiche e Applicazioni. A
1 Revista Matemática Iberoamericana
1 European Journal of Applied Mathematics
1 Differential and Integral Equations
1 The Journal of Geometric Analysis
1 SIAM Review
1 Advances in Mathematical Sciences and Applications
1 Journal of Convex Analysis
1 European Mathematical Society Newsletter
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Interfaces and Free Boundaries
1 Milan Journal of Mathematics
1 Communications in Mathematical Sciences
1 Lecture Notes in Mathematics
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Journal of Physics. Conference Series
1 Mathematics in Engineering

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 4,807 times in 2,698 Documents Cited by Year
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
912
2008
Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
562
2005
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
296
2014
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
249
2014
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
149
2015
Regularity results for elliptic equations in Lipschitz domains. Zbl 0889.35018
Savaré, Giuseppe
116
1998
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
115
2013
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows. Zbl 1398.53044
Gigli, Nicola; Mondino, Andrea; Savaré, Giuseppe
112
2015
A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131
Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe
98
2009
A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Zbl 1021.65047
Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio
90
2000
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
88
2009
Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces. Zbl 1275.49087
Savaré, Giuseppe
86
2014
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
86
2019
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264
Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe
84
2009
Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
80
2018
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
74
2012
Eulerian calculus for the displacement convexity in the Wasserstein distance. Zbl 1166.58011
Daneri, Sara; Savaré, Giuseppe
68
2008
Degenerate evolution systems modeling the cardiac electric field at micro- and macroscopic level. Zbl 1036.35087
Colli Franzone, Piero; Savaré, Giuseppe
68
2002
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
57
2009
Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces. Zbl 1150.46014
Savaré, Giuseppe; Rossi, Riccarda
57
2003
Regularity and perturbation results for mixed second order elliptic problems. Zbl 0881.35020
Savaré, Giuseppe
57
1997
Multiscale modeling for the bioelectric activity of the heart. Zbl 1113.35019
Pennacchio, Micol; Savaré, Giuseppe; Colli Franzone, Piero
55
2006
On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. Zbl 1335.35088
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
55
2016
Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
54
2009
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
53
2016
Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
50
2013
Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048
Rossi, Riccarda; Savaré, Giuseppe
47
2006
Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
45
2016
Nonlinear mobility continuity equations and generalized displacement convexity. Zbl 1225.49043
Carrillo, J. A.; Lisini, S.; Savaré, G.; Slepčev, D.
44
2010
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
42
2013
A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164
Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe
39
2008
A Wasserstein approach to the one-dimensional sticky particle system. Zbl 1203.35170
Natile, Luca; Savaré, Giuseppe
38
2009
Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics. Zbl 1248.35095
Lisini, Stefano; Matthes, Daniel; Savaré, Giuseppe
37
2012
Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds. Zbl 1125.53064
Savaré, Giuseppe
32
2007
Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055
Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
32
2012
Parabolic problems with mixed variable lateral conditions: an abstract approach. Zbl 0890.35061
Savaré, Giuseppe
28
1997
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
28
2019
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
23
2007
Lecture notes on gradient flows and optimal transport. Zbl 1333.49001
Daneri, Sara; Savaré, Giuseppe
23
2014
Computational electrocardiology: mathematical and numerical modeling. Zbl 1387.92056
Franzone, P. Colli; Pavarino, L. F.; Savaré, G.
22
2006
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
22
2015
A variational approach to the mean field planning problem. Zbl 1423.49044
Orrieri, Carlo; Porretta, Alessio; Savaré, Giuseppe
22
2019
Weak solutions and maximal regularity for abstract evolution inequalities. Zbl 0858.35073
Savaré, Giuseppe
21
1996
The asymptotic profile of solutions of a class of doubly nonlinear equations. Zbl 0821.35081
Savaré, Giuseppe; Vespri, Vincenzo
21
1994
The concavity of Rényi entropy power. Zbl 1360.94169
Savaré, Giuseppe; Toscani, Giuseppe
21
2014
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
18
2013
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075
Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe
17
2016
Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
17
2012
Variational convergence of nonlinear diffusion equations: Applications to concentrated capacity problems with change of phase. Zbl 0888.35139
Savaré, Giuseppe; Visintín, Augusto
16
1997
On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Zbl 1149.35330
Dolbeault, J.; Nazaret, B.; Savaré, G.
16
2008
Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications. Zbl 1098.65092
Nochetto, Ricardo H.; Savaré, Giuseppe
15
2006
\(A(\Theta)\)-stable approximation of abstract Cauchy problems. Zbl 0791.65077
Savaré, Giuseppe
15
1993
Gradient flows and evolution variational inequalities in metric spaces. I: structural properties. Zbl 1448.49015
Muratori, Matteo; Savaré, Giuseppe
15
2020
From diffusion to reaction via \(\Gamma\)-convergence. Zbl 1221.35045
Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
14
2010
Global existence results for viscoplasticity at finite strain. Zbl 1387.35574
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
14
2018
Stability of flows associated to gradient vector fields and convergence of iterated transport maps. Zbl 1099.49027
Ambrosio, Luigi; Lisini, Stefano; Savaré, Giuseppe
14
2006
Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312
Savaré, Giuseppe; Schimperna, Giulio
14
2002
Jump processes as generalized gradient flows. Zbl 1490.60022
Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver
14
2022
On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model. Zbl 0967.49009
Ambrosio, Luigi; Colli Franzone, Piero; Savaré, Giuseppe
13
2000
Abstract evolution equations on variable domains: An approach by minimizing movements. Zbl 0864.35048
Gianazza, Ugo; Savaré, Giuseppe
13
1996
Error control of nonlinear evolution equations. Zbl 0944.65077
Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio
12
1998
A variational principle for gradient flows in metric spaces. Zbl 1236.49065
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
12
2011
Spatially inhomogeneous evolutionary games. Zbl 1470.91038
Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe
12
2021
Superposition and chain rule for bounded Hessian functions. Zbl 0919.49001
Savaré, Giuseppe; Tomarelli, Franco
11
1998
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space. Zbl 1162.35349
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
11
2004
Chemical reactions as \(\Gamma\)-limit of diffusion. Zbl 1252.35037
Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
10
2012
Some results on minimizing movements. Zbl 0862.49016
Gianazza, Ugo; Savaré, Giuseppe
10
1994
Variational equations of Schroedinger-type in non-cylindrical domains. Zbl 0981.35058
Bernardi, Marco Luigi; Pozzi, Gianni Arrigo; Savaré, Giuseppe
10
2001
On the regularity of the positive part of functions. Zbl 0871.47040
Savaré, Giuseppe
10
1996
Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and gamma-convergence. Zbl 1492.49038
Cavagnari, Giulia; Lisini, Stefano; Orrieri, Carlo; Savaré, Giuseppe
10
2022
Weighted energy-dissipation principle for gradient flows in metric spaces. Zbl 1423.35007
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
10
2019
Viscous corrections of the time incremental minimization scheme and visco-energetic solutions to rate-independent evolution problems. Zbl 1387.74019
Minotti, Luca; Savaré, Giuseppe
9
2018
From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. Zbl 1264.26011
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
9
2012
A characterization of energetic and \(BV\) solutions to one-dimensional rate-independent systems. Zbl 1270.34027
Rossi, Riccarda; Savaré, Giuseppe
9
2013
Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts. Zbl 1206.35236
Natile, Luca; Peletier, Mark A.; Savaré, Giuseppe
8
2011
Balanced-viscosity solutions for multi-rate systems. Zbl 1465.70060
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
8
2016
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1288.58016
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
8
2012
Evolution problems and minimizing movements. Zbl 0835.49021
Gianazza, Ugo; Gobbino, Massimo; Savarè, Giuseppe
6
1994
Singular perturbation and interpolation. Zbl 0818.47009
Baiocchi, C.; Savaré, G.
5
1994
Existence and approximation results for gradient flows. Zbl 1162.34343
Rossi, Riccarda; Savaré, Giuseppe
5
2004
Approximation and regularity of evolution variational inequalities. Zbl 0836.35082
Savaré, G.
4
1993
Time discretization of Stefan problems with singular heat flux. Zbl 0864.35124
Colli, P.; Savaré, G.
4
1996
Sobolev spaces in extended metric-measure spaces. Zbl 07747990
Savaré, Giuseppe
4
2022
Contraction and regularizing properties of heat flows in metric measure spaces. Zbl 1459.49030
Luise, Giulia; Savaré, Giuseppe
4
2021
Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100
Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe
3
2012
From visco-energetic to energetic and balanced viscosity solutions of rate-independent systems. Zbl 1384.49039
Rossi, Riccarda; Savaré, Giuseppe
3
2017
Compactness properties for families of quasistationary solutions of some evolution equations. Zbl 1008.47065
Savaré, Giuseppe
3
2002
Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
3
2017
Reverse approximation of gradient flows as minimizing movements: a conjecture by De Giorgi. Zbl 1460.49022
Fleissner, Florentine; Savaré, Giuseppe
3
2020
On the transversality conditions and their genericity. Zbl 1322.58009
Agostiniani, Virginia; Rossi, Riccarda; Savaré, Giuseppe
2
2015
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces. Zbl 1512.35696
Cavagnari, Giulia; Savaré, Giuseppe; Sodini, Giacomo Enrico
2
2023
Error estimates for dissipative evolution problems. Zbl 1054.65101
Savaré, Giuseppe
1
2003
A \(\Theta\)-stable discretization of abstract differential equations. Zbl 0762.65053
Savaré, G.
1
1991
\( L^2 \)-gradient flows of spectral functionals. Zbl 07700771
Mazzoleni, Dario; Savaré, Giuseppe
1
2023
Duality properties of metric Sobolev spaces and capacity. Zbl 1504.46048
Ambrosio, Luigi; Savaré, Giuseppe
1
2021
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces. Zbl 1512.35696
Cavagnari, Giulia; Savaré, Giuseppe; Sodini, Giacomo Enrico
2
2023
\( L^2 \)-gradient flows of spectral functionals. Zbl 07700771
Mazzoleni, Dario; Savaré, Giuseppe
1
2023
Jump processes as generalized gradient flows. Zbl 1490.60022
Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver
14
2022
Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and gamma-convergence. Zbl 1492.49038
Cavagnari, Giulia; Lisini, Stefano; Orrieri, Carlo; Savaré, Giuseppe
10
2022
Sobolev spaces in extended metric-measure spaces. Zbl 07747990
Savaré, Giuseppe
4
2022
Spatially inhomogeneous evolutionary games. Zbl 1470.91038
Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe
12
2021
Contraction and regularizing properties of heat flows in metric measure spaces. Zbl 1459.49030
Luise, Giulia; Savaré, Giuseppe
4
2021
Duality properties of metric Sobolev spaces and capacity. Zbl 1504.46048
Ambrosio, Luigi; Savaré, Giuseppe
1
2021
Gradient flows and evolution variational inequalities in metric spaces. I: structural properties. Zbl 1448.49015
Muratori, Matteo; Savaré, Giuseppe
15
2020
Reverse approximation of gradient flows as minimizing movements: a conjecture by De Giorgi. Zbl 1460.49022
Fleissner, Florentine; Savaré, Giuseppe
3
2020
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
86
2019
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
28
2019
A variational approach to the mean field planning problem. Zbl 1423.49044
Orrieri, Carlo; Porretta, Alessio; Savaré, Giuseppe
22
2019
Weighted energy-dissipation principle for gradient flows in metric spaces. Zbl 1423.35007
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
10
2019
Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
80
2018
Global existence results for viscoplasticity at finite strain. Zbl 1387.35574
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
14
2018
Viscous corrections of the time incremental minimization scheme and visco-energetic solutions to rate-independent evolution problems. Zbl 1387.74019
Minotti, Luca; Savaré, Giuseppe
9
2018
From visco-energetic to energetic and balanced viscosity solutions of rate-independent systems. Zbl 1384.49039
Rossi, Riccarda; Savaré, Giuseppe
3
2017
Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
3
2017
On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. Zbl 1335.35088
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
55
2016
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
53
2016
Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
45
2016
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075
Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe
17
2016
Balanced-viscosity solutions for multi-rate systems. Zbl 1465.70060
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
8
2016
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
149
2015
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows. Zbl 1398.53044
Gigli, Nicola; Mondino, Andrea; Savaré, Giuseppe
112
2015
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
22
2015
On the transversality conditions and their genericity. Zbl 1322.58009
Agostiniani, Virginia; Rossi, Riccarda; Savaré, Giuseppe
2
2015
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
296
2014
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
249
2014
Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces. Zbl 1275.49087
Savaré, Giuseppe
86
2014
Lecture notes on gradient flows and optimal transport. Zbl 1333.49001
Daneri, Sara; Savaré, Giuseppe
23
2014
The concavity of Rényi entropy power. Zbl 1360.94169
Savaré, Giuseppe; Toscani, Giuseppe
21
2014
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
115
2013
Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
50
2013
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
42
2013
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
18
2013
A characterization of energetic and \(BV\) solutions to one-dimensional rate-independent systems. Zbl 1270.34027
Rossi, Riccarda; Savaré, Giuseppe
9
2013
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
74
2012
Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics. Zbl 1248.35095
Lisini, Stefano; Matthes, Daniel; Savaré, Giuseppe
37
2012
Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055
Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
32
2012
Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
17
2012
Chemical reactions as \(\Gamma\)-limit of diffusion. Zbl 1252.35037
Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
10
2012
From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. Zbl 1264.26011
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
9
2012
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1288.58016
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
8
2012
Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100
Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe
3
2012
A variational principle for gradient flows in metric spaces. Zbl 1236.49065
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
12
2011
Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts. Zbl 1206.35236
Natile, Luca; Peletier, Mark A.; Savaré, Giuseppe
8
2011
Nonlinear mobility continuity equations and generalized displacement convexity. Zbl 1225.49043
Carrillo, J. A.; Lisini, S.; Savaré, G.; Slepčev, D.
44
2010
From diffusion to reaction via \(\Gamma\)-convergence. Zbl 1221.35045
Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
14
2010
A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131
Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe
98
2009
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
88
2009
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264
Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe
84
2009
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
57
2009
Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
54
2009
A Wasserstein approach to the one-dimensional sticky particle system. Zbl 1203.35170
Natile, Luca; Savaré, Giuseppe
38
2009
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
912
2008
Eulerian calculus for the displacement convexity in the Wasserstein distance. Zbl 1166.58011
Daneri, Sara; Savaré, Giuseppe
68
2008
A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164
Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe
39
2008
On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Zbl 1149.35330
Dolbeault, J.; Nazaret, B.; Savaré, G.
16
2008
Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds. Zbl 1125.53064
Savaré, Giuseppe
32
2007
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
23
2007
Multiscale modeling for the bioelectric activity of the heart. Zbl 1113.35019
Pennacchio, Micol; Savaré, Giuseppe; Colli Franzone, Piero
55
2006
Gradient flows of non convex functionals in Hilbert spaces and applications. Zbl 1116.34048
Rossi, Riccarda; Savaré, Giuseppe
47
2006
Computational electrocardiology: mathematical and numerical modeling. Zbl 1387.92056
Franzone, P. Colli; Pavarino, L. F.; Savaré, G.
22
2006
Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications. Zbl 1098.65092
Nochetto, Ricardo H.; Savaré, Giuseppe
15
2006
Stability of flows associated to gradient vector fields and convergence of iterated transport maps. Zbl 1099.49027
Ambrosio, Luigi; Lisini, Stefano; Savaré, Giuseppe
14
2006
Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
562
2005
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space. Zbl 1162.35349
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
11
2004
Existence and approximation results for gradient flows. Zbl 1162.34343
Rossi, Riccarda; Savaré, Giuseppe
5
2004
Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces. Zbl 1150.46014
Savaré, Giuseppe; Rossi, Riccarda
57
2003
Error estimates for dissipative evolution problems. Zbl 1054.65101
Savaré, Giuseppe
1
2003
Degenerate evolution systems modeling the cardiac electric field at micro- and macroscopic level. Zbl 1036.35087
Colli Franzone, Piero; Savaré, Giuseppe
68
2002
Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312
Savaré, Giuseppe; Schimperna, Giulio
14
2002
Compactness properties for families of quasistationary solutions of some evolution equations. Zbl 1008.47065
Savaré, Giuseppe
3
2002
Variational equations of Schroedinger-type in non-cylindrical domains. Zbl 0981.35058
Bernardi, Marco Luigi; Pozzi, Gianni Arrigo; Savaré, Giuseppe
10
2001
A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Zbl 1021.65047
Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio
90
2000
On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model. Zbl 0967.49009
Ambrosio, Luigi; Colli Franzone, Piero; Savaré, Giuseppe
13
2000
Regularity results for elliptic equations in Lipschitz domains. Zbl 0889.35018
Savaré, Giuseppe
116
1998
Error control of nonlinear evolution equations. Zbl 0944.65077
Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio
12
1998
Superposition and chain rule for bounded Hessian functions. Zbl 0919.49001
Savaré, Giuseppe; Tomarelli, Franco
11
1998
Regularity and perturbation results for mixed second order elliptic problems. Zbl 0881.35020
Savaré, Giuseppe
57
1997
Parabolic problems with mixed variable lateral conditions: an abstract approach. Zbl 0890.35061
Savaré, Giuseppe
28
1997
Variational convergence of nonlinear diffusion equations: Applications to concentrated capacity problems with change of phase. Zbl 0888.35139
Savaré, Giuseppe; Visintín, Augusto
16
1997
Weak solutions and maximal regularity for abstract evolution inequalities. Zbl 0858.35073
Savaré, Giuseppe
21
1996
Abstract evolution equations on variable domains: An approach by minimizing movements. Zbl 0864.35048
Gianazza, Ugo; Savaré, Giuseppe
13
1996
On the regularity of the positive part of functions. Zbl 0871.47040
Savaré, Giuseppe
10
1996
Time discretization of Stefan problems with singular heat flux. Zbl 0864.35124
Colli, P.; Savaré, G.
4
1996
The asymptotic profile of solutions of a class of doubly nonlinear equations. Zbl 0821.35081
Savaré, Giuseppe; Vespri, Vincenzo
21
1994
Some results on minimizing movements. Zbl 0862.49016
Gianazza, Ugo; Savaré, Giuseppe
10
1994
Evolution problems and minimizing movements. Zbl 0835.49021
Gianazza, Ugo; Gobbino, Massimo; Savarè, Giuseppe
6
1994
Singular perturbation and interpolation. Zbl 0818.47009
Baiocchi, C.; Savaré, G.
5
1994
\(A(\Theta)\)-stable approximation of abstract Cauchy problems. Zbl 0791.65077
Savaré, Giuseppe
15
1993
Approximation and regularity of evolution variational inequalities. Zbl 0836.35082
Savaré, G.
4
1993
A \(\Theta\)-stable discretization of abstract differential equations. Zbl 0762.65053
Savaré, G.
1
1991
all top 5

Cited by 2,780 Authors

68 Carrillo de la Plata, José Antonio
59 Savaré, Giuseppe
49 Gigli, Nicola
41 Ambrosio, Luigi
33 Mielke, Alexander
32 Rossi, Riccarda
31 Peletier, Mark Adriaan
29 Mondino, Andrea
29 Santambrogio, Filippo
28 Stefanelli, Ulisse
26 Sturm, Karl-Theodor
23 Matthes, Daniel
22 Li, Wuchen
21 Nochetto, Ricardo Horacio
21 Pasqualetto, Enrico
19 Gangbo, Wilfrid
19 Honda, Shouhei
18 Figalli, Alessio
17 Cardaliaguet, Pierre
17 Di Francesco, Marco
17 Hynd, Ryan
17 Marigonda, Antonio
17 Slepčev, Dejan
16 Cavalletti, Fabio
16 Quarteroni, Alfio M.
15 Bendahmane, Mostafa
15 Dolbeault, Jean
15 Erbar, Matthias
15 Maas, Jan
15 Ohta, Shin-ichi
14 Carlier, Guillaume
14 Dede’, Luca
14 Fagioli, Simone
14 Fetecau, Razvan C.
14 McCann, Robert J.
14 Monsaingeon, Léonard
14 Solombrino, Francesco
13 Akagi, Goro
13 Burger, Martin
13 Choi, Young-Pil
13 Gentil, Ivan
13 Han, Bangxian
13 Jüngel, Ansgar
13 Ketterer, Christian
13 Kim, Hwa Kil
13 Lisini, Stefano
13 Scacchi, Simone
13 Schmitzer, Bernhard
13 Semola, Daniele
12 Cavagnari, Giulia
12 Di Marino, Simone
12 Pavarino, Luca Franco
12 Rajala, Tapio
12 Vorotnikov, Dmitry A.
11 Akrivis, Georgios D.
11 Bruè, Elia
11 Cancès, Clément
11 Craig, Katy
11 Duong, Manh Hong
11 Knees, Dorothee
11 Liero, Matthias
11 Mészáros, Alpár Richárd
11 Piccoli, Benedetto
11 Schlichting, André
11 Segatti, Antonio
11 Shanmugalingam, Nageswari
11 Zinsl, Jonathan
10 Bogachev, Vladimir Igorevich
10 Braides, Andrea
10 Brenier, Yann
10 Laux, Tim
10 Liu, Jianguo
10 Patacchini, Francesco Saverio
10 Peyré, Gabriel
10 Quincampoix, Marc
10 Renger, D. R. Michiel
10 Röckner, Michael
10 Roubíček, Tomáš
10 Shaposhnikov, Stanislav V.
10 Trevisan, Dario
10 Westdickenberg, Michael
9 Averboukh, Yuriĭ Vladimirovich
9 Bessi, Ugo
9 Carlen, Eric Anders
9 Conforti, Giovanni
9 Crismale, Vito
9 Fornasier, Massimo
9 Gallouët, Thomas O.
9 Gwiazda, Piotr
9 Kapovitch, Vitali
9 Laurençot, Philippe
9 Makridakis, Charalambos G.
9 Osher, Stanley Joel
9 Tamanini, Luca
8 Agranovich, Mikhail Semënovich
8 Almi, Stefano
8 Blanchet, Adrien
8 Bögelein, Verena
8 Colli Franzone, Piero
8 Delgadino, Matias Gonzalo
...and 2,680 more Authors
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Cited in 380 Serials

133 Calculus of Variations and Partial Differential Equations
95 SIAM Journal on Mathematical Analysis
90 Journal of Functional Analysis
87 Archive for Rational Mechanics and Analysis
82 Journal of Differential Equations
79 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
55 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
53 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
46 Journal of Mathematical Analysis and Applications
40 Journal de Mathématiques Pures et Appliquées. Neuvième Série
38 Discrete and Continuous Dynamical Systems
31 The Journal of Geometric Analysis
31 Potential Analysis
28 Mathematics of Computation
28 Communications in Partial Differential Equations
27 NoDEA. Nonlinear Differential Equations and Applications
26 Journal of Computational Physics
26 Applied Mathematics and Optimization
25 SIAM Journal on Numerical Analysis
24 Transactions of the American Mathematical Society
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
23 Computer Methods in Applied Mechanics and Engineering
23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Nonlinear Analysis. Real World Applications
23 Discrete and Continuous Dynamical Systems. Series S
22 Advances in Mathematics
22 Numerische Mathematik
22 Proceedings of the American Mathematical Society
22 SIAM Journal on Control and Optimization
21 Journal of Evolution Equations
20 Probability Theory and Related Fields
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Analysis and Geometry in Metric Spaces
18 Communications in Mathematical Physics
18 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Stochastic Processes and their Applications
17 Journal of Statistical Physics
16 Manuscripta Mathematica
16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15 Journal of Mathematical Physics
15 SIAM Journal on Applied Mathematics
15 Journal of the European Mathematical Society (JEMS)
14 European Journal of Applied Mathematics
14 Journal of Mathematical Sciences (New York)
14 Electronic Journal of Probability
14 Kinetic and Related Models
13 Nonlinearity
13 Inventiones Mathematicae
13 Journal für die Reine und Angewandte Mathematik
13 Acta Applicandae Mathematicae
13 Journal of Scientific Computing
13 The Annals of Applied Probability
13 Journal of Dynamics and Differential Equations
13 Discrete and Continuous Dynamical Systems. Series B
13 Networks and Heterogeneous Media
13 Advances in Calculus of Variations
12 Journal of Nonlinear Science
11 Journal of Computational and Applied Mathematics
11 Physica D
11 Revista Matemática Iberoamericana
11 SIAM Journal on Scientific Computing
11 Communications on Pure and Applied Analysis
11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
11 Oberwolfach Reports
11 SIAM Journal on Imaging Sciences
10 The Annals of Probability
10 Mathematische Zeitschrift
10 Memoirs of the American Mathematical Society
10 SIAM Journal on Optimization
10 Journal of Convex Analysis
10 Bernoulli
10 Annales Henri Poincaré
10 Foundations of Computational Mathematics
10 SIAM Journal on Applied Dynamical Systems
9 Geometric and Functional Analysis. GAFA
9 Analysis & PDE
8 Computers & Mathematics with Applications
8 Communications on Pure and Applied Mathematics
8 Inverse Problems
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Journal of Optimization Theory and Applications
8 Mathematische Annalen
8 Numerical Methods for Partial Differential Equations
8 Applied Mathematics Letters
8 Journal of Mathematical Imaging and Vision
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Mathematics in Engineering
7 Journal of Mathematical Biology
7 Mathematical Methods in the Applied Sciences
7 BIT
7 Duke Mathematical Journal
7 Functional Analysis and its Applications
7 Journal of the London Mathematical Society. Second Series
7 Annals of Global Analysis and Geometry
7 Communications in Contemporary Mathematics
7 Advances in Nonlinear Analysis
7 Information Geometry
6 Calcolo
6 Mathematische Nachrichten
6 Applied Numerical Mathematics
...and 280 more Serials
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Cited in 51 Fields

1,387 Partial differential equations (35-XX)
816 Calculus of variations and optimal control; optimization (49-XX)
471 Numerical analysis (65-XX)
431 Probability theory and stochastic processes (60-XX)
375 Differential geometry (53-XX)
234 Global analysis, analysis on manifolds (58-XX)
207 Statistical mechanics, structure of matter (82-XX)
207 Biology and other natural sciences (92-XX)
198 Operator theory (47-XX)
194 Fluid mechanics (76-XX)
183 Mechanics of deformable solids (74-XX)
143 Measure and integration (28-XX)
143 Functional analysis (46-XX)
126 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
119 Ordinary differential equations (34-XX)
117 Operations research, mathematical programming (90-XX)
108 Dynamical systems and ergodic theory (37-XX)
83 Real functions (26-XX)
81 Systems theory; control (93-XX)
80 Statistics (62-XX)
75 Potential theory (31-XX)
71 Functions of a complex variable (30-XX)
58 Computer science (68-XX)
51 Information and communication theory, circuits (94-XX)
48 Integral equations (45-XX)
43 General topology (54-XX)
36 Mechanics of particles and systems (70-XX)
36 Classical thermodynamics, heat transfer (80-XX)
35 Quantum theory (81-XX)
34 Optics, electromagnetic theory (78-XX)
30 Geometry (51-XX)
19 Combinatorics (05-XX)
19 Convex and discrete geometry (52-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
17 Difference and functional equations (39-XX)
14 General and overarching topics; collections (00-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Geophysics (86-XX)
11 Approximations and expansions (41-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Relativity and gravitational theory (83-XX)
8 Manifolds and cell complexes (57-XX)
4 Algebraic geometry (14-XX)
4 Abstract harmonic analysis (43-XX)
4 Integral transforms, operational calculus (44-XX)
3 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Topological groups, Lie groups (22-XX)
1 History and biography (01-XX)
1 Group theory and generalizations (20-XX)
1 Mathematics education (97-XX)

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