[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

- G. Savaré - G. E. Sodini (
*Journal de Mathématiques Pures et Appliquées*)

A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation (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)

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

*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

*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