Gradient flows: in metric spaces and in the space of probability measures L Ambrosio, N Gigli, G Savaré Birkhauser, 2005 | 4518 | 2005 |
Metric measure spaces with Riemannian Ricci curvature bounded from below L Ambrosio, N Gigli, G Savaré | 535 | 2014 |
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below L Ambrosio, N Gigli, G Savaré Inventiones mathematicae 195 (2), 289--391, 2014 | 484 | 2014 |
Optimal entropy-transport problems and a new Hellinger–Kantorovich distance between positive measures M Liero, A Mielke, G Savaré Inventiones mathematicae 211 (3), 969-1117, 2018 | 325 | 2018 |
Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds L Ambrosio, N Gigli, G Savaré | 288 | 2015 |
Regularity results for elliptic equations in Lipschitz domains G Savaré Journal of Functional Analysis 152 (1), 176-201, 1998 | 266 | 1998 |
Degenerate evolution systems modeling the cardiac electric field at micro-and macroscopic level PC Franzone, G Savaré Evolution Equations, Semigroups and Functional Analysis: In memory of …, 2002 | 237 | 2002 |
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows N Gigli, A Mondino, G Savaré Proceedings of the London Mathematical Society 111 (5), 1071-1129, 2015 | 236 | 2015 |
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces L Ambrosio, N Gigli, G Savaré Revista Matemática Iberoamericana 29 (3), 969-996, 2013 | 235 | 2013 |
A posteriori error estimates for variable time‐step discretizations of nonlinear evolution equations RH Nochetto, G Savaré, C Verdi Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2000 | 227 | 2000 |
Gradient flows in metric spaces and in the Wasserstein space of probability measures L Ambrosio, N Gigli, G Savare Lectures in Mathematics, ETH Zurich, Birkhäuser, 2005 | 206 | 2005 |
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation U Gianazza, G Savaré, G Toscani Archive for rational mechanics and analysis 194 (1), 133-220, 2009 | 198 | 2009 |
A new class of transport distances between measures J Dolbeault, B Nazaret, G Savaré Calculus of Variations and Partial Differential Equations 34 (2), 193-231, 2009 | 197 | 2009 |
Nonlinear diffusion equations and curvature conditions in metric measure spaces L Ambrosio, A Mondino, G Savaré American mathematical society 262 (1270), 2019 | 196 | 2019 |
Multiscale modeling for the bioelectric activity of the heart M Pennacchio, G Savaré, PC Franzone SIAM Journal on Mathematical Analysis 37 (4), 1333-1370, 2005 | 182 | 2005 |
A family of nonlinear fourth order equations of gradient flow type D Matthes, RJ McCann, G Savaré Communications in Partial Differential Equations 34 (11), 1352-1397, 2009 | 181 | 2009 |
Self-improvement of the Bakry-\'Emery condition and Wasserstein contraction of the heat flow in RCD (K,\ infty) metric measure spaces G Savaré Discrete Contin. Dyn. Syst. 34 (4), 1641–1661, 2014 | 174 | 2014 |
BV solutions and viscosity approximations of rate-independent systems∗ A Mielke, R Rossi, G Savaré ESAIM: Control, Optimisation and Calculus of Variations 18 (1), 36-80, 2012 | 153 | 2012 |
Eulerian calculus for the displacement convexity in the Wasserstein distance S Daneri, G Savaré SIAM Journal on Mathematical Analysis 40 (3), 1104-1122, 2008 | 138 | 2008 |
On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of Metric Measure Spaces L Ambrosio, A Mondino, G Savaré The Journal of Geometric Analysis 26, 24-56, 2016 | 136 | 2016 |