publications

publications by categories in reversed chronological order. generated by jekyll-scholar.

2023

  1. preprint
    A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation
    Giuseppe Savaré, and Giacomo Enrico Sodini
    2023
    arXiv
  2. preprint
    A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
    Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré, and 1 more author
    2023
    arXiv
  3. preprint
    A Lagrangian approach to totally dissipative evolutions in Wasserstein spaces
    Giulia Cavagnari, Giuseppe Savaré, and Giacomo Enrico Sodini
    2023
    arXiv
  4. Extension of monotone operators and Lipschitz maps invariant for a group of isometries
    Giulia Cavagnari, Giuseppe Savaré, and Giacomo Enrico Sodini
    Canadian Journal of Mathematics, 2023
    arXiv doi
  5. Fine Properties of Geodesics and Geodesic λ-Convexity for the Hellinger–Kantorovich Distance
    Matthias Liero, Alexander Mielke, and Giuseppe Savaré
    Arch. Ration. Mech. Anal., 2023
    arXiv doi
  6. Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces
    Massimo Fornasier, Giuseppe Savaré, and Giacomo Enrico Sodini
    J. Funct. Anal., 2023
    arXiv doi
  7. L^2-gradient flows of spectral functionals
    Dario Mazzoleni, and Giuseppe Savaré
    Discrete Contin. Dyn. Syst., 2023
    arXiv doi
  8. Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces
    Giulia Cavagnari, Giuseppe Savaré, and Giacomo Enrico Sodini
    Probab. Theory Related Fields, 2023
    arXiv doi

2022

  1. Jump processes as generalized gradient flows
    Mark A. Peletier, Riccarda Rossi, Giuseppe Savaré, and 1 more author
    Calc. Var. Partial Differential Equations, 2022
    arXiv doi
  2. Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and gamma-convergence
    Giulia Cavagnari, Stefano Lisini, Carlo Orrieri, and 1 more author
    J. Differential Equations, 2022
    arXiv doi
  3. A simple relaxation approach to duality for optimal transport problems in completely regular spaces
    Giuseppe Savaré, and Giacomo E. Sodini
    J. Convex Anal., 2022
    PDF

2021

  1. Spatially inhomogeneous evolutionary games
    Luigi Ambrosio, Massimo Fornasier, Marco Morandotti, and 1 more author
    Comm. Pure Appl. Math., 2021
    arXiv doi
  2. Contraction and regularizing properties of heat flows in metric measure spaces
    Giulia Luise, and Giuseppe Savaré
    Discrete Contin. Dyn. Syst. Ser. S, 2021
    arXiv doi
  3. Weak topology and Opial property in Wasserstein spaces, with applications to gradient flows and proximal point algorithms of geodesically convex functionals
    Emanuele Naldi, and Giuseppe Savaré
    Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 2021
    arXiv doi
  4. Duality properties of metric Sobolev spaces and capacity
    Luigi Ambrosio, and Giuseppe Savaré
    Math. Eng., 2021
    doi

2020

  1. Reverse approximation of gradient flows as minimizing movements: a conjecture by De Giorgi
    Florentine Fleissner, and Giuseppe Savaré
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2020
    arXiv doi
  2. Gradient flows and evolution variational inequalities in metric spaces. I: Structural properties
    Matteo Muratori, and Giuseppe Savaré
    J. Funct. Anal., 2020
    arXiv doi

2019

  1. Nonlinear diffusion equations and curvature conditions in metric measure spaces
    Luigi Ambrosio, Andrea Mondino, and Giuseppe Savaré
    Mem. Amer. Math. Soc., 2019
    arXiv doi
  2. Sobolev spaces in extended metric-measure spaces
    Giuseppe Savaré
    Lecture Notes in Math., CIME Found. Subser., Springer, 2019
    arXiv
  3. Mean-field optimal control as Gamma-limit of finite agent controls
    Massimo Fornasier, Stefano Lisini, Carlo Orrieri, and 1 more author
    European J. Appl. Math., 2019
    arXiv doi
  4. Contraction and regularizing properties of heat flows in metric measure spaces
    Giulia Luise, and Giuseppe Savaré
    Discrete Contin. Dyn. Syst. (S), in press, 2019
    arXiv
  5. A variational approach to the mean field planning problem
    Carlo Orrieri, Alessio Porretta, and Giuseppe Savaré
    J. Funct. Anal., 2019
    arXiv doi
  6. Weighted energy-dissipation principle for gradient flows in metric spaces
    Riccarda Rossi, Giuseppe Savaré, Antonio Segatti, and 1 more author
    J. Math. Pures Appl. (9), 2019
    doi

2018

  1. Diffusion, optimal transport and Ricci curvature
    Giuseppe Savaré
    In European Congress of Mathematics, 2018
    doi
  2. Gradient flows and Evolution Variational Inequalities in metric spaces. I: structural properties
    Matteo Muratori, and Giuseppe Savaré
    J. Funct. Anal., in press, 2018
    arXiv doi
  3. Spatially Inhomogeneous Evolutionary Games
    Luigi Ambrosio, Massimo Fornasier, Marco Morandotti, and 1 more author
    ArXiv:, 2018
    arXiv
  4. Global existence results for viscoplasticity at finite strain
    Alexander Mielke, Riccarda Rossi, and Giuseppe Savaré
    Arch. Ration. Mech. Anal., 2018
    arXiv doi
  5. Viscous corrections of the Time Incremental Minimization Scheme and Visco-Energetic Solutions to Rate-Independent Evolution Problems
    Luca Minotti, and Giuseppe Savaré
    Arch. Ration. Mech. Anal., 2018
    arXiv doi
  6. Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
    Matthias Liero, Alexander Mielke, and Giuseppe Savaré
    Invent. Math., 2018
    doi

2017

  1. From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems
    Riccarda Rossi, and Giuseppe Savaré
    In Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs, 2017
    arXiv
  2. Diffusion, optimal transport and Ricci curvature for metric measure spaces
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Eur. Math. Soc. Newsl., 2017
    doi

2016

  1. Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces
    Luigi Ambrosio, Matthias Erbar, and Giuseppe Savaré
    Nonlinear Anal., 2016
    arXiv doi
  2. Optimal Transport in Competition with Reaction: The Hellinger–Kantorovich Distance and Geodesic Curves
    Matthias Liero, Alexander Mielke, and Giuseppe Savaré
    SIAM J. Math. Anal., 2016
    arXiv doi
  3. On the Bakry-Émery condition, the gradient estimates and the local-to-global property of RCD^*(K,N) metric measure spaces
    Luigi Ambrosio, Andrea Mondino, and Giuseppe Savaré
    J. Geom. Anal., 2016
    arXiv doi
  4. Balanced-viscosity solutions for multi-rate systems
    Alexander Mielke, Riccarda Rossi, and Giuseppe Savaré
    J. Phys. Conf. Ser., 2016
    arXiv doi
  5. Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems
    Alexander Mielke, Riccarda Rossi, and Giuseppe Savaré
    J. Eur. Math. Soc. (JEMS), 2016
    arXiv doi

2015

  1. Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
    Nicola Gigli, Andrea Mondino, and Giuseppe Savaré
    Proc. Lond. Math. Soc. (3), 2015
    arXiv doi
  2. On the duality between p-modulus and probability measures
    Luigi Ambrosio, Simone Di Marino, and Giuseppe Savaré
    J. Eur. Math. Soc. (JEMS), 2015
    arXiv doi
  3. On the transversality conditions and their genericity
    Virginia Agostiniani, Riccarda Rossi, and Giuseppe Savaré
    Rend. Circ. Mat. Palermo (2), 2015
    arXiv doi
  4. Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Ann. Probab., 2015
    arXiv doi

2014

  1. The concavity of Rényi entropy power
    Giuseppe Savaré, and Giuseppe Toscani
    IEEE Trans. Inform. Theory, 2014
    arXiv doi
  2. Lecture notes on gradient flows and optimal transport
    Sara Daneri, and Giuseppe Savaré
    In Optimal transportation, 2014
    arXiv
  3. Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in RCD(K,∞) metric measure spaces
    Giuseppe Savaré
    Disc. Cont. Dyn. Sist. A, 2014
    arXiv doi
  4. Metric measure spaces with Riemannian Ricci curvature bounded from below
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Duke Math. J., 2014
    arXiv doi
  5. Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Invent. Math., 2014
    arXiv doi

2013

  1. Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    In Analysis and Numerics of Partial Differential Equations, 2013
    arXiv
  2. A characterization of Energetic and BV solutions to one-dimensional rate-independent systems
    Riccarda Rossi, and Giuseppe Savaré
    Discrete Contin. Dyn. Syst. (S), 2013
    doi
  3. Sticky particle dynamics with interactions
    Y. Brenier, W. Gangbo, G. Savaré, and 1 more author
    J. Math. Pures Appl. (9), 2013
    arXiv doi
  4. Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Rev. Mat. Iberoamericana, 2013
    arXiv doi
  5. Nonsmooth analysis of doubly nonlinear evolution equations
    Alexander Mielke, Riccarda Rossi, and Giuseppe Savaré
    Calc. Var. Partial Differential Equations, 2013
    arXiv doi

2012

  1. Variational convergence of gradient flows and rate-independent evolutions in metric spaces
    Alexander Mielke, Riccarda Rossi, and Giuseppe Savaré
    Milan J. Math., 2012
    arXiv doi
  2. Chemical Reactions as Γ-Limit of Diffusion
    Mark A. Peletier, Giuseppe Savaré, and Marco Veneroni
    SIAM Review, 2012
    doi
  3. Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
    Stefano Lisini, Daniel Matthes, and Giuseppe Savaré
    J. Differential Equations, 2012
    arXiv doi
  4. From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach
    Jean Dolbeault, Bruno Nazaret, and Giuseppe Savaré
    SIAM J. Math. Anal., 2012
    arXiv doi
  5. Passing to the Limit in a Wasserstein Gradient Flow: From Diffusion to Reaction
    Steffen Arnrich, Alexander Mielke, Mark A. Peletier, and 2 more authors
    Calc. Var. Partial Differential Equations, 2012
    arXiv doi
  6. Measure valued solutions of sub-linear diffusion equations with a drift term
    Simona Fornaro, Stefano Lisini, Giuseppe Savaré, and 1 more author
    Discrete Contin. Dyn. Syst. (A), 2012
    arXiv doi
  7. BV solutions and viscosity approximations of rate-independent systems
    Alexander Mielke, Riccarda Rossi, and Giuseppe Savaré
    ESAIM: Control, Optimisation and Calculus of Variations, 2012
    arXiv doi

2011

  1. A variational principle for gradient flows in metric spaces
    Riccarda Rossi, Giuseppe Savaré, Antonio Segatti, and 1 more author
    C. R. Math. Acad. Sci. Paris, 2011
    doi
  2. Nonlinear PDE’s and applications
    Stefano Bianchini, Eric A. Carlen, Alexander Mielke, and 1 more author
    2011
    Notes of the C.I.M.E. Summer School held in Cetraro, June 23–28, 2008
    doi
  3. Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts
    Luca Natile, Mark A. Peletier, and Giuseppe Savaré
    Journal de Mathématiques Pures et Appliqués, 2011
    doi

2010

  1. From diffusion to reaction via Γ-convergence
    Mark A. Peletier, Giuseppe Savaré, and Marco Veneroni
    SIAM J. Math. Anal., 2010
    arXiv doi
  2. Nonlinear mobility continuity equations and generalized displacement convexity
    Josè A. Carrillo, Stefano Lisini, Giuseppe Savaré, and 1 more author
    J. Funct. Anal., 2010
    arXiv doi

2009

  1. Modeling solutions with jumps for rate-independent systems on metric spaces
    Alexander Mielke, Riccarda Rossi, and Giuseppe Savaré
    Discrete Contin. Dyn. Syst., 2009
    arXiv doi
  2. A family of nonlinear fourth order equations of gradient flow type
    Daniel Matthes, Robert J. McCann, and Giuseppe Savaré
    Comm. Partial Differential Equations, 2009
    arXiv doi
  3. A Wasserstein approach to the one-dimensional sticky particle system
    Luca Natile, and Giuseppe Savaré
    SIAM J. Math. Anal., 2009
    arXiv doi
  4. Existence and stability for Fokker-Planck equations with log-concave reference measure
    Luigi Ambrosio, Giuseppe Savaré, and Lorenzo Zambotti
    Probab. Theory Related Fields, 2009
    arXiv doi
  5. The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
    Ugo Gianazza, Giuseppe Savaré, and Giuseppe Toscani
    Arch. Ration. Mech. Anal., 2009
    doi
  6. A new class of transport distances between measures
    Jean Dolbeault, Bruno Nazaret, and Giuseppe Savaré
    Calc. Var. Partial Differential Equations, 2009
    arXiv doi

2008

  1. A metric approach to a class of doubly nonlinear evolution equations and applications
    Riccarda Rossi, Alexander Mielke, and Giuseppe Savaré
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2008
    PDF
  2. Gradient flows in metric spaces and in the space of probability measures
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    2008
  3. On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
    Jean Dolbeault, Bruno Nazaret, and Giuseppe Savaré
    Commun. Math. Sci., 2008
    arXiv
  4. Eulerian calculus for the displacement convexity in the Wasserstein distance
    Sara Daneri, and Giuseppe Savaré
    SIAM J. Math. Anal., 2008
    arXiv doi

2007

  1. Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds
    Giuseppe Savaré
    C. R. Math. Acad. Sci. Paris, 2007
    doi

2006

  1. Computational Electrocardiology: mathematical and numerical modeling.
    Piero Colli Franzone, Luca F. Pavarino, and Giuseppe Savaré
    In Complex Systems in Biomedicine, 2006
    doi
  2. Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications
    Ricardo H. Nochetto, and Giuseppe Savaré
    Math. Models Methods Appl. Sci., 2006
    doi
  3. Stability of flows associated to gradient vector fields and convergence of iterated transport maps
    Luigi Ambrosio, Stefano Lisini, and Giuseppe Savaré
    Manuscripta Math., 2006
    doi
  4. Gradient Flows of Probability Measures
    Luigi Ambrosio, and Giuseppe Savaré
    In Handbook of Evolution Equations, 2006
  5. Gradient flows of non convex functionals in Hilbert spaces and applications
    Riccarda Rossi, and Giuseppe Savaré
    ESAIM Control Optim. Calc. Var., 2006
  6. Multiscale modeling for the bioelectric activity of the heart
    Micol Pennacchio, Giuseppe Savaré, and Piero Colli Franzone
    SIAM J. Math. Anal., 2006
    doi

2004

  1. Gradient flows with metric and differentiable structures, and applications to the Wasserstein space
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 2004
  2. Existence and approximation results for gradient flows
    Riccarda Rossi, and Giuseppe Savaré
    Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 2004

2003

  1. Tightness, Integral Equicontinuity and Compactness for Evolution Problems in Banach Spaces
    Riccarda Rossi, and Giuseppe Savaré
    Ann. Sc. Norm. Sup., Pisa, 2003
  2. Error Estimates for Dissipative Evolution Problems
    Giuseppe Savaré
    In Free Bounday Problems, 2003

2002

  1. Domain perturbations and estimates for the solutions of second order elliptic equations
    Giuseppe Savaré, and Giulio Schimperna
    J. Math. Pures Appl. (9), 2002
    doi
  2. Compactness properties for families of quasistationary solutions of some evolution equations
    Giuseppe Savaré
    Trans. Amer. Math. Soc., 2002
    doi
  3. Degenerate Evolution Systems Modeling the Cardiac Electric Field at Micro- and Macroscopic Level
    Piero Colli Franzone, and Giuseppe Savaré
    In Evolution Equations, Semigroups and Functional Analysis: in memory of Brunello Terreni, 2002

2001

  1. Variational equations of Schroedinger-type in non-cylindrical domains
    Marco Luigi Bernardi, Gianni Arrigo Pozzi, and Giuseppe Savaré
    J. Differential Equations, 2001
    doi

2000

  1. A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
    Ricardo H. Nochetto, Giuseppe Savaré, and Claudio Verdi
    Comm. Pure Appl. Math., 2000
    doi
  2. On the asymptotic behaviour of anisotropic energies arising in the Cardiac Bidomain model
    Luigi Ambrosio, Piero Colli Franzone, and Giuseppe Savaré
    Interfaces Free Bound., 2000
    doi

1998

  1. Superposition and chain rule for Bounded Hessian functions
    Giuseppe Savaré, and Franco Tomarelli
    Advances in Mathematics, 1998
    doi
  2. Regularity Results for Elliptic Equations in Lipschitz Domains
    Giuseppe Savaré
    Journal of Functional Analysis, 1998
    doi
  3. Error Control of Nonlinear evolution Equations
    Ricardo H.Nochetto, Giuseppe Savaré, and Claudio Verdi
    C.R.Acad.Sci.Paris, 1998
    doi

1997

  1. Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase
    Giuseppe Savaré, and Augusto Visintin
    Rend. Mat. Acc. Lincei, 1997
  2. Parabolic problems with mixed variable lateral conditions: an abstract approach
    Giuseppe Savaré
    J.Math.Pures Appl., 1997
    doi
  3. Regularity and perturbation results for mixed second order elliptic problems
    Giuseppe Savaré
    Communications in P.D.E., 1997
    doi

1996

  1. Time discretization of Stefan problems with singular heat flux
    Pierluigi Colli, and Giuseppe Savaré
    Quaderni del Dip. di Mat. dell’Università di Torino, 1996
  2. Time discretization of Stefan problems with singular heat flux
    Pierluigi Colli, and Giuseppe Savaré
    In Free boundary problems, theory and applications (Zakopane 1995), 1996
  3. On the regularity of the positive part of functions
    Giuseppe Savaré
    Nonlinear Analysis, T.M.A., 1996
    doi
  4. Abstract evolution equations on variable domains: an approach by Minimizing Movements
    Ugo Gianazza, and Giuseppe Savaré
    Annali della Scuola Normale Superiore di Pisa, 1996
  5. Weak solutions and maximal regularity for abstract evolution inequalities
    Giuseppe Savaré
    Advances in Mathematical Sciences and Applications, 1996

1995

  1. On a class of implicit evolution variational inequalities
    Pierluigi Colli, and Giuseppe Savaré
    Differential Integral Equations, 1995

1994

  1. Singular perturbation and interpolation
    Claudio Baiocchi, and Giuseppe Savaré
    Mathematical Models and Methods in Applied Sciences, 1994
    doi
  2. Some results on Minimizing Movements
    Ugo Gianazza, and Giuseppe Savaré
    Rend. Acc. Naz. Sc. dei XL, Mem.Mat, 1994
  3. Evolution problems and Minimizing Movements
    Ugo Gianazza, Massimo Gobbino, and Giuseppe Savaré
    Rend.Mat.Acc.Lincei, 1994
  4. Some Remarks on Cauchy Problem for Parabolic equations with Dirichlet boundary condition
    Giuseppe Savaré
    Rend.Ist.Lombardo, Sc.A, 1994
  5. The asymptotic profile of solutions of a class of doubly nonlinear equations
    Giuseppe Savaré, and Vincenzo Vespri
    Nonlinear Analysis, T.M.A., 1994
    doi

1993

  1. Approximation and regularity of evolution variational inequalities
    Giuseppe Savaré
    Rend.Acc.Naz.Sc.dei XL, Mem.Mat., 1993
  2. A(Θ)-stable approximations of abstract Cauchy problems
    Giuseppe Savaré
    Numer. Math., 1993
    doi

1991

  1. Discretizzazioni A(Θ)-stabili di equazioni differenziali astratte
    Giuseppe Savaré
    Calcolo, 1991
    doi