Preprints and Published papers

Preprints

1. Riccarda Rossi, Giuseppe Savaré
   A characterization of Energetic and BV solutions to one-dimensional rate-independent systems
   To appear on Discrete Contin. Dyn. Syst. (S)
   (2012) 1-28
2. Yann Brenier, Wilfrid Gangbo, Giuseppe Savaré, Michael Westdickenberg
   Sticky particle dynamics with interactions
   (2011) 1-42
   arxiv:1201.2350v1
3. Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
   From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach
   (2011) 1-30
   arxiv:1105.4511
4. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
   Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
   (2011) 1-74
   arxiv:1106.2090
5. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
   Metric measure spaces with Riemannian Ricci curvature bounded from below
   (2011) 1-60
   arxiv:1109.0222
6. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
   Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
   (2011) 1-28
   arxiv:1111.3730
7. Sara Daneri, Giuseppe Savaré
   Lecture notes on gradient flows and optimal transport
   To appear on Seminaires et Congres, SMF
   (2010)
   arxiv:1009.3737v1

Published papers

1. Stefano Lisini, Daniel Matthes, Giuseppe Savaré
   Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
   J. Differential Equations 253 (2012) 814-850
   doi:10.1016/j.jde.2012.04.004
   arxiv:1201.2367
2. Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
   Nonsmooth analysis of doubly nonlinear evolution equations
   Calc. Var. Partial Differential Equations (2012)
   doi:10.1007/s00526-011-0482-z
   arxiv:1105.4296
3. Steffen Arnrich, Alexander Mielke, Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
   Passing to the Limit in a Wasserstein Gradient Flow: From Diffusion to Reaction
   Calc. Var. Partial Differential Equations 44 (2012) 419--454
   doi:10.1007/s00526-011-0440-9
   arxiv:1102.1202v1
4. Simona Fornaro, Stefano Lisini, Giuseppe Savaré, Giuseppe Toscani
   Measure valued solutions of sub-linear diffusion equations with a drift term
   Discrete Contin. Dyn. Syst. (A) 32, (2012) 1675 - 1707
   doi:10.3934/dcds.2012.32.1675
   arxiv:1009.4305v1
5. Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
   Chemical Reactions as \Gamma-Limit of Diffusion
   SIAM Review 54 (2012) 327--352
   doi:10.1137/110858781
6. Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
   BV solutions and viscosity approximations of rate-independent systems
   ESAIM: Control, Optimisation and Calculus of Variations (2011)
   doi:10.1051/cocv/2010054
   arxiv:0910.3360v1
7. Luca Natile, Mark A. Peletier, Giuseppe Savaré
   Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts
   Journal de Mathématiques Pures et Appliqués 95 (2011) 18--35
   doi:10.1016/j.matpur.2010.07.003
8. Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
   From diffusion to reaction via \Gamma-convergence
   SIAM J. Math. Anal. 42 (2010) 1805--1825
   doi:10.1137/090781474
   arxiv:0912.5077v1
9. Jos\`e A. Carrillo, Stefano Lisini, Giuseppe Savaré, Dejan Slepcev
   Nonlinear mobility continuity equations and generalized displacement convexity
   J. Funct. Anal. 258 (2010) 1273--1309
   doi:10.1016/j.jfa.2009.10.016
   arxiv:0901.3978v1
10. Ugo Gianazza, Giuseppe Savaré, Giuseppe Toscani
    The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
    Arch. Ration. Mech. Anal. 194 (2009) 133--220
    doi:10.1007/s00205-008-0186-5
11. Luigi Ambrosio, Giuseppe Savaré, Lorenzo Zambotti
    Existence and stability for Fokker-Planck equations with log-concave reference measure
    Probab. Theory Related Fields 145 (2009) 517--564
    doi:10.1007/s00440-008-0177-3
    arxiv:0704.2458v1
12. Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
    Modeling solutions with jumps for rate-independent systems on metric spaces
    Discrete Contin. Dyn. Syst. 25 (2009) 585--615
    doi:10.3934/dcds.2009.25.585
    arxiv:0807.0744v1
13. Daniel Matthes, Robert J. McCann, Giuseppe Savaré
    A family of nonlinear fourth order equations of gradient flow type
    Comm. Partial Differential Equations 34 (2009) 1352--1397
    doi:10.1080/03605300903296256
    arxiv:0901.0540v1
14. Luca Natile, Giuseppe Savaré
    A Wasserstein approach to the one-dimensional sticky particle system
    SIAM J. Math. Anal. 41 (2009) 1340-1365
    doi:10.1137/090750809
    arxiv:0902.4373v1
15. Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
    A new class of transport distances between measures
    Calc. Var. Partial Differential Equations 34 (2009) 193--231
    doi:10.1007/s00526-008-0182-5
    arxiv:0803.1235v1
16. Riccarda Rossi, Alexander Mielke, Giuseppe Savaré
    A metric approach to a class of doubly nonlinear evolution equations and applications
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008) 97--169
17. Ambrosio Luigi, Gigli Nicola, Savaré Giuseppe
    Gradient flows in metric spaces and in the space of probability measures
    Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel (2008) x+334
18. Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
    On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
    Commun. Math. Sci. 6 (2008) 477-494
    http://projecteuclid.org/euclid.cms/1214949932
    arxiv:0712.2211v1
19. Sara Daneri, Giuseppe Savaré
    Eulerian calculus for the displacement convexity in the Wasserstein distance
    SIAM J. Math. Anal. 40, (2008) 1104--1122
    doi:10.1137/08071346X
    arxiv:0801.2455v1
20. Giuseppe Savaré
    Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds
    C. R. Math. Acad. Sci. Paris 345 (2007) 151--154
21. Luigi Ambrosio, Giuseppe Savaré
    Gradient Flows of Probability Measures
    in Handbook of Evolution Equations Dafermos, C. and Feireisl, E. (ed.); Vol. 3, "", Elsevier (2006) 1-136
22. Riccarda Rossi, Giuseppe Savaré
    Gradient flows of non convex functionals in Hilbert spaces and applications
    ESAIM Control Optim. Calc. Var. 12 (2006) 564--614 (electronic)
23. Micol Pennacchio, Giuseppe Savaré, Piero Colli Franzone
    Multiscale modeling for the bioelectric activity of the heart
    SIAM J. Math. Anal. 37 (2006) 1333--1370 (electronic)
24. Piero Colli Franzone, Luca F. Pavarino, Giuseppe Savaré
    Computational Electrocardiology: mathematical and numerical modeling.
    in Complex Systems in Biomedicine A. Quarteroni et al. (ed.); Vol. , "", Springer-Verlag (2006) 187--241
    http://www.springer.com/life+sci/bioinformatics/book/978-88-470-0394-1
25. Luigi Ambrosio, Stefano Lisini, Giuseppe Savaré
    Stability of flows associated to gradient vector fields and convergence of iterated transport maps
    Manuscripta Math. 121 (2006) 1--50
26. Ricardo H. Nochetto, Giuseppe Savaré
    Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications
    Math. Models Methods Appl. Sci. 16 (2006) 439--477
27. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
    Gradient flows in metric spaces and in the space of probability measures
    Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel (2005) viii+333
    ../research/optimal_transportation/index.html
28. Riccarda Rossi, Giuseppe Savaré
    Existence and approximation results for gradient flows
    Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei 15 (2004) 183--196
29. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
    Gradient flows with metric and differentiable structures, and applications to the Wasserstein space
    Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei 15 (2004) 327--343
30. Giuseppe Savaré
    Error Estimates for Dissipative Evolution Problems
    in Free Bounday Problems P.~Colli, C.~Verdi, A.~Visintin (ed.);
    Vol. 147, "International Serises of Numerical Mathematics", Birkhäuser (2003) 281-291
31. Riccarda Rossi, Giuseppe Savaré
    Tightness, Integral Equicontinuity and Compactness for Evolution Problems in Banach Spaces
    Ann. Sc. Norm. Sup., Pisa 2 (2003) 395-431
32. Giuseppe Savaré
    Compactness properties for families of quasistationary solutions of some evolution equations
    Trans. Amer. Math. Soc. 354 (2002) 3703--3722
33. Giuseppe Savaré, Giulio Schimperna
    Domain perturbations and estimates for the solutions of second order elliptic equations
    J. Math. Pures Appl. (9) 81 (2002) 1071--1112
34. Piero Colli Franzone, Giuseppe Savaré
    Degenerate Evolution Systems Modeling the Cardiac Electric Field at Micro- and Macroscopic Level
    in Evolution Equations, Semigroups and Functional Analysis: in memory of Brunello Terreni A.Lorenzi and B.Ruf (ed.); Vol. 50, "Progress in nonlinear differential equations and their applications", Birkhäuser Verlag (2002) 49-78
35. Marco Luigi Bernardi, Gianni Arrigo Pozzi, Giuseppe Savaré
    Variational equations of Schroedinger-type in non-cylindrical domains
    J. Differential Equations 171 (2001) 63--87
36. Nochetto Ricardo H., Savaré Giuseppe, Verdi Claudio
    A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
    Comm. Pure Appl. Math. 53 (2000) 525--589
37. Luigi Ambrosio, Piero Colli Franzone, Giuseppe Savaré
    On the asymptotic behaviour of anisotropic energies arising in the Cardiac Bidomain model
    Interfaces Free Bound. 2 (2000) 213-266
38. Giuseppe Savaré, Franco Tomarelli
    Superposition and chain rule for Bounded Hessian functions
    Advances in Mathematics 140 (1998) 237-281
39. Ricardo H.Nochetto, Giuseppe Savaré, Claudio Verdi
    Error Control of Nonlinear evolution Equations
    C.R.Acad.Sci.Paris 326, Série I (1998) 1437-1442
40. Giuseppe Savaré
    Regularity Results for Elliptic Equations in Lipschitz Domains
    Journal of Functional Analysis 152 (1998) 176-201
41. Giuseppe Savaré, Augusto Visintin
    Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase
    Rend.Mat.Acc.Lincei s.9, v.8 (1997) 49-89
42. Giuseppe Savaré
    Regularity and perturbation results for mixed second order elliptic problems
    Communications in P.D.E. 22 (1997) 869-899
43. Giuseppe Savaré
    Parabolic problems with mixed variable lateral conditions: an abstract approach
    J.Math.Pures Appl. 76 (1997) 321-351
44. Giuseppe Savaré
    On the regularity of the positive part of functions
    Nonlinear Analysis, T.M.A. 27 (1996) 1055-1074
45. Pierluigi Colli, Giuseppe Savaré
    Time discretization of Stefan problems with singular heat flux
    in Free boundary problems, theory and applications (Zakopane 1995) (ed.);
    Vol. 363, "Pitman Res. Notes Math. Ser.", Longman (1996) 16-28
46. Ugo Gianazza, Giuseppe Savaré
    Abstract evolution equations on variable domains: an approach by Minimizing Movements
    Annali della Scuola Normale Superiore di Pisa XXIII (1996) 149-178
47. Giuseppe Savaré
    Weak solutions and maximal regularity for abstract evolution inequalities
    Advances in Mathematical Sciences and Applications 6 (1996) 377-418
48. Pierluigi Colli, Giuseppe Savaré
    Time discretization of Stefan problems with singular heat flux
    Quaderni del Dip. di Mat. dell'Università di Torino 1 (1996) 1-12
49. Pierluigi Colli, Giuseppe Savaré
    On a class of implicit evolution variational inequalities
    Differential Integral Equations 8 (1995) 2097-2124
50. Ugo Gianazza, Giuseppe Savaré
    Some results on Minimizing Movements
    Rend.Acc.Naz.Sc.dei XL, Mem.Mat 112 (1994) 57-80
51. Ugo Gianazza, Massimo Gobbino, Giuseppe Savaré
    Evolution problems and Minimizing Movements
    Rend.Mat.Acc.Lincei IX 5 (1994) 289-296
52. Claudio Baiocchi, Giuseppe Savaré
    Singular perturbation and interpolation
    Mathematical Models and Methods in Applied Sciences 4 (1994) 557-570
53. Giuseppe Savaré, Vincenzo Vespri
    The asymptotic profile of solutions of a class of doubly nonlinear equations
    Nonlinear Analysis, T.M.A. 22 (1994) 1553-1565
54. Giuseppe Savaré
    Some Remarks on Cauchy Problem for Parabolic equations with Dirichlet boundary condition
    Rend.Ist.Lombardo, Sc.A 128 (1994) 71-91
55. Giuseppe Savaré
    A(\Theta)-stable approximations of abstract Cauchy problems
    Numer. Math. 65 (1993) 319-335
56. Giuseppe Savaré
    Approximation and regularity of evolution variational inequalities
    Rend.Acc.Naz.Sc.dei XL, Mem.Mat. 111 (1993) 83-111
57. Giuseppe Savaré
    Discretizzazioni A(\Theta)-stabili di equazioni differenziali astratte
    Calcolo 28 (1991) 205-248