cvgmt: Giuseppe Savaré

Calculus of Variations and Geometric Measure Theory

Giuseppe Savaré

[savare]

Full Professor, Bocconi University, Milan

Email: giuseppe.savare AT unibocconi.it

Home-page: https://gsavare.github.io

arxiv id: savare_g_1

orcid id: 0000-0002-0104-4158

Available papers (59):

G. Savaré - G. E. Sodini (Journal de Mathématiques Pures et Appliquées)
A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation (2024)
E. Borgonovo - A. Figalli - E. Plischke - G. Savaré (Accepted Paper: Management Science)
Global sensitivity analysis via optimal transport (2024)
G. Cavagnari - G. Savaré - G. E. Sodini (preprint)
A Lagrangian approach to totally dissipative evolutions in Wasserstein spaces (2023)
R. Rossi - G. Savaré (preprint)
Abstract Action Spaces and their topological and dynamic properties (2023)
G. Cavagnari - G. Savaré - G. E. Sodini (Canadian Journal of Mathematics)
Extension of monotone operators and Lipschitz maps invariant for a group of isometries (2023)
G. Savaré - G. E. Sodini (Journal of Convex Analysis)
A simple relaxation approach to duality for Optimal Transport problems in completely regular spaces (2022)
G. Cavagnari - G. Savaré - G. E. Sodini (Probability Theory and Related Fields)
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces (2022)
M. Fornasier - G. Savaré - G. E. Sodini (Journal of Functional Analysis)
Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces (2022)
D. Mazzoleni - G. Savaré (Discrete and Continuous Dynamical Systems)
$L^2$-Gradient Flows of Spectral Functionals (2022)
G. Dal Maso - R. Rossi - G. Savaré - R. Toader (Accepted Paper: Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
Visco-energetic solutions for a model of crack growth in brittle materials (2021)
M. A. Peletier - R. Rossi - G. Savaré - O. Tse (Submitted Paper)
Jump processes as Generalized Gradient Flows (2020)
G. Savaré (preprint)
Sobolev spaces in extended metric-measure spaces (2019)
R. Rossi - G. Savaré - A. Segatti - U. Stefanelli (Submitted Paper)
Weighted Energy-Dissipation principle for gradient flows in metric spaces (2018)
L. Ambrosio - M. Fornasier - M. Morandotti - G. Savaré (Accepted Paper: CPAM)
Spatially Inhomogeneous Evolutionary Games (2018)
R. Rossi - G. Savaré (Submitted Paper)
From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems (2017)
F. Fleißner - G. Savaré (Annali della Scuola Normale Superiore di Pisa, Classe di Scienze)
Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi (2017)
L. Minotti - G. Savaré (Submitted Paper)
Viscous corrections of the Time Incremental Minimization Scheme and Visco-Energetic Solutions to Rate-Independent Evolution Problems (2016)
A. Mielke - R. Rossi - G. Savaré (Submitted Paper)
Global existence results for viscoplasticity at finite strain (2016)
L. Ambrosio - M. Erbar - G. Savaré (Submitted Paper)
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces (2015)
L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper: Memoirs Amer. Math. Soc.)
Nonlinear diffusion equations and curvature conditions in metric measure spaces (2015)
M. Liero - A. Mielke - G. Savaré (preprint)
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves (2015)
M. Liero - A. Mielke - G. Savaré (preprint)
Optimal Entropy-Transport problems and a new Hellinger-Kantorovich distance between positive measures (2015)
L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper: Journal of Geometric Analysis)
On the Bakry-Èmery condition, the gradient estimates and the Local-to-Global property of $RCD^*(K,N)$ metric measure spaces (2014)
A. Mielke - R. Rossi - G. Savaré (Submitted Paper)
Balanced-Viscosity solutions for multi-rate systems (2014)
A. Mielke - R. Rossi - G. Savaré (Submitted Paper)
Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems (2013)
V. Agostiniani - R. Rossi - G. Savaré (Submitted Paper)
On the transversality conditions and their genericity} (2013)
N. Gigli - A. Mondino - G. Savaré (Accepted Paper: Proceedings of the London Mathematical Society)
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows (2013)
L. Ambrosio - S. Di Marino - G. Savaré (Submitted Paper)
On the duality between p-Modulus and probability measures (2013)
G. Savaré (preprint)
Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in RCD(K,\infty) metric measure spaces (2013)
G. Savaré - G. Toscani (preprint)
The concavity of Rènyi entropy power (2012)
S. Fornaro - S. Lisini - G. Savaré - G. Toscani (Discrete Contin. Dyn. Syst.-Series A)
Measure valued solutions of sub-linear diffusion equations with a drift term (2012)
Y. Brenier - W. Gangbo - G. Savaré - M. Westdickenberg (preprint)
Sticky particle dynamics with interactions (2012)
S. Lisini - D. Matthes - G. Savaré (Journal of differential equations)
Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics (2012)
L. Ambrosio - N. Gigli - G. Savaré (Preprint)
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case (2012)
A. Mielke - R. Rossi - G. Savaré (Accepted Paper: Milan J. Math.)
Variational convergence of gradient flows and rate-independent evolutions in metric spaces (2012)
L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds (2012)
S. Arnrich - A. Mielke - M. Peletier - G. Savaré - M. Veneroni (Preprint)
Passing to the Limit in a Wasserstein Gradient Flow: From Diffusion to Reaction (2011)
A. Mielke - R. Rossi - G. Savaré (Submitted Paper)
Nonsmooth analysis of doubly nonlinear evolution equations (2011)
L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces (2011)
R. Rossi - G. Savaré (Submitted Paper)
A characterization of Energetic and BV solutions to one-dimensional rate-independent systems (2011)
L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below (2011)
L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Metric measure spaces with Riemannian Ricci curvature bounded from below (2011)
J. A. Carrillo - S. Lisini - G. Savaré - D. Slepčev (J. Funct. Anal.)
Nonlinear mobility continuity equations and generalized displacement convexity (2010)
L. Natile - G. Savaré (Submitted Paper)
A Wasserstein approach to the one-dimensional sticky particle system (2009)
D. Matthes - R. J. McCann - G. Savaré (Submitted Paper)
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type (2009)
J. Dolbeault - B. Nazaret - G. Savaré (Calc. Var. Partial Differential Equations)
A new class of transport distances between measures (2009)
A. Mielke - R. Rossi - G. Savaré (Submitted Paper)
BV solutions and viscosity approximations of rate-independent systems (2009)
S. Daneri - G. Savaré (SIAM J. Math. Anal.)
Eulerian calculus for the displacement convexity in the Wasserstein distance (2008)
A. Mielke - R. Rossi - G. Savaré (Accepted Paper: Discrete Contin. Dyn. Syst.)
Modeling solutions with jumps for rate-independent systems on metric spaces (2008)
A. Mielke - R. Rossi - G. Savaré (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) )
A metric approach to a class of doubly nonlinear evolution equations and applications (2008)
J. Dolbeault - B. Nazaret - G. Savaré (preprint)
A new class of transport distances (2008)
L. Ambrosio - G. Savaré - L. Zambotti (Accepted Paper: Probability Theory and Related Fields)
Existence and Stability for Fokker-Planck equations with log-concave reference measures (2007)
U. Gianazza - G. Savaré - G. Toscani (Accepted Paper: Arch. Ration. Mech. Anal.)
The Wasserstein gradient flow of the Fisher information and the Quantum Drift-Diffusion equation (2006)
L. Ambrosio - S. Lisini - G. Savaré (manuscripta math.)
Stability of flows associated to gradient vector fields and convergence of iterated transport maps (2006)
R. Rossi - G. Savaré (Accepted Paper: ESAIM: COCV)
Gradient flows of non convex functionals in Hilbert spaces and applications (2005)
L. Ambrosio - N. Gigli - G. Savaré (Accepted Paper)
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space (2003)
R. Rossi - G. Savaré (Accepted Paper: Annali Scuola Normale Superiore - Pisa)
Tightness-Concentration Principles and Compactness for Evolution Problems in Banach Spaces (2002)
L. Ambrosio - P. Colli Franzone - G. Savaré (Interfaces and Free Boundaries)
Gamma-Convergence of a Family of Anisotropic Functionals with Lack of Coercivity (2000)
G. Savaré - F. Tomarelli (Advances in Mathematics)
Superposition and Chain Rule for Bounded Hessian Functions (1998)

Seminars:

16 may 2017: Optimal transport in competition with reaction
9 jun 2014: Metric measure spaces with Riemannian Ricci curvature bounded from below

Speaker:

16 sep 2024 - 20 sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso
17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
21 may 2024 - 24 may 2024: Workshop: Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension
12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
29 nov 2021 - 3 dec 2021: Winter school: "Analytical Methods in Quantum and Continuum Mechanics"
30 aug 2021 - 3 sep 2021: Geometric Measure Theory and applications
27 jan 2020 - 1 feb 2020: Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)
1 apr 2019 - 5 apr 2019: Optimal Transport and Geometric Analysis
25 jan 2018 - 26 jan 2018: 17th-GAMM-SEMINAR ON MICROSTRUCTURES
19 sep 2016 - 23 sep 2016: A Mathematical Tribute to Ennio De Giorgi
6 jun 2016 - 10 jun 2016: Advances in the Mathematical Analysis of Material Defects in Elastic Solids
9 oct 2013 - 11 may 2013: ERC Workshop on Energy/Entropy-Driven Systems and Applications
17 jun 2013 - 21 jun 2013: Seventh Summer School in Analysis and Applied Mathematics
10 sep 2012 - 12 sep 2012: Variational Models and Methods for Evolution
18 jun 2012 - 22 jun 2012: Optimal Transport (to) Orsay
13 jun 2011 - 17 jun 2011: Mini-courses in Mathematical Analysis 2011
15 jun 2009 - 27 jun 2009: Optimal transportation: Theory and applications

Organizer:

2 dec 2024 - 6 dec 2024: Optimal Transportation and Applications
24 oct 2022 - 28 oct 2022: Optimal Transportation and Applications
12 nov 2018 - 16 nov 2018: Optimal Transport and Applications
19 sep 2018 - 21 sep 2018: Optimal Control and Mean Field Games
7 may 2018 - 11 may 2018: OPTIMAL TRANSPORT: NUMERICAL METHODS AND APPLICATIONS
22 feb 2017 - 22 feb 2017: Mathematical and Numerical Modeling of the Cardiovascular System and Applications
7 nov 2016 - 11 nov 2016: Optimal Transportation and Applications
27 oct 2014 - 31 oct 2014: ERC Workshop on Optimal Transportation and Applications
5 nov 2012 - 9 nov 2012: ERC Workshop on Optimal Transportation and Applications