Luca Natile, Mark A. Peletier, Giuseppe Savaré
Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts
(2010)
Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
BV solutions and viscosity approximations of rate-independent systems
(2009) arxiv:0910.3360v1
Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
From diffusion to reaction via Gamma-convergence
(2009) arxiv:0912.5077v1
Gianazza Ugo, Savaré Giuseppe, Toscani Giuseppe
The Wasserstein gradient flow of the Fisher information Arch. Ration. Mech. Anal. 194 (2009) 133--220 doi:10.1007/s00205-008-0186-5
Ambrosio Luigi, Savaré Giuseppe, Zambotti
Existence and stability for Fokker-Planck equations with Probab. Theory Related Fields 145 (2009) 517--564 doi:10.1007/s00440-008-0177-3 arxiv:0704.2458v1
Mielke Alexander, Rossi Riccarda, Savaré
Modeling solutions with jumps for rate-independent systems on Discrete Contin. Dyn. Syst. 25 (2009) 585--615 doi:10.3934/dcds.2009.25.585 arxiv:0807.0744v1
Daniel Matthes, Robert J. McCann, Giuseppe Savaré
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type Communications in Partial Diferential Equations 34 (2009) 1352--1397 doi:10.1080/03605300903296256 arxiv:0901.0540v1
José Antonio Carrillo, Stefano Lisini, Giuseppe Savaré, Dejan Slepcev
Nonlinear mobility continuity equations and generalized displacement convexity Journal of Functional Analysis (2009) doi:10.1016/j.jfa.2009.10.016 arxiv:0901.3978v1
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
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
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
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
Giuseppe Savaré
Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds C. R. Math. Acad. Sci. Paris 345 (2007) 151--154
Luigi Ambrosio, Giuseppe Savaré
Gradient Flows of Probability Measures
in Handbook of Evolution EquationsDafermos, C. and Feireisl, E. (ed.); Vol. 3, "", Elsevier (2006) 1-136
Riccarda Rossi, Giuseppe Savaré
Gradient flows of non convex functionals in Hilbert spaces ESAIM Control Optim. Calc. Var. 12 (2006) 564--614 (electronic)
Piero Colli Franzone, Luca F. Pavarino, Giuseppe Savaré
Computational Electrocardiology: mathematical and numerical modeling.
in Complex Systems in BiomedicineA. Quarteroni et al. (ed.); Vol. , "", Springer-Verlag (2006) 187--241 http://www.springer.com/life+sci/bioinformatics/book/978-88-470-0394-1
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
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
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
Micol Pennacchio, Giuseppe Savaré, Piero Colli Franzone
Multiscale modeling for the bioelectric activity of the heart SIAM J. Math. Anal. 37 (2005) 1333--1370 (electronic)
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
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
Giuseppe Savaré
Error Estimates for Dissipative Evolution Problems
in Free Bounday ProblemsP.~Colli, C.~Verdi, A.~Visintin (ed.); Vol. 147, "International Serises of Numerical Mathematics", Birkhäuser (2003) 281-291
Riccarda Rossi, Giuseppe Savaré
Tightness, Integral Equicontinuity and Compactness for Evolution Problems in Banach Spaces Ann. Sc. Norm. Sup., Pisa 2 (2003) 395-431
Giuseppe Savaré
Compactness properties for families of quasistationary solutions of some evolution equations Trans. Amer. Math. Soc. 354 (2002) 3703--3722
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
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 TerreniA.Lorenzi and B.Ruf (ed.); Vol. 50, "Progress in nonlinear differential equations and their applications", Birkhäuser Verlag (2002) 49-78
Marco Luigi Bernardi, Gianni Arrigo Pozzi, Giuseppe Savaré
Variational equations of Schroedinger-type in non-cylindrical domains J. Differential Equations 171 (2001) 63--87
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
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
Giuseppe Savaré, Franco Tomarelli
Superposition and chain rule for Bounded Hessian functions Advances in Mathematics 140 (1998) 237-281
Ricardo H.Nochetto, Giuseppe Savaré, Claudio Verdi
Error Control of Nonlinear evolution Equations C.R.Acad.Sci.Paris 326, Série I (1998) 1437-1442
Giuseppe Savaré
Regularity Results for Elliptic Equations in Lipschitz Domains Journal of Functional Analysis 152 (1998) 176-201
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
Giuseppe Savaré
Regularity and perturbation results for mixed second order elliptic problems Communications in P.D.E. 22 (1997) 869-899
Giuseppe Savaré
Parabolic problems with mixed variable lateral conditions: an abstract approach J.Math.Pures Appl. 76 (1997) 321-351
Giuseppe Savaré
On the regularity of the positive part of functions Nonlinear Analysis, T.M.A. 27 (1996) 1055-1074
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
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
Giuseppe Savaré
Weak solutions and maximal regularity for abstract evolution inequalities Advances in Mathematical Sciences and Applications 6 (1996) 377-418
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
Pierluigi Colli, Giuseppe Savaré
On a class of implicit evolution variational inequalities Differential Integral Equations 8 (1995) 2097-2124
Ugo Gianazza, Giuseppe Savaré
Some results on Minimizing Movements Rend.Acc.Naz.Sc.dei XL, Mem.Mat 112 (1994) 57-80
Ugo Gianazza, Massimo Gobbino, Giuseppe Savaré
Evolution problems and Minimizing Movements Rend.Mat.Acc.Lincei IX 5 (1994) 289-296
Claudio Baiocchi, Giuseppe Savaré
Singular perturbation and interpolation Mathematical Models and Methods in Applied Sciences 4 (1994) 557-570
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
Giuseppe Savaré
Some Remarks on Cauchy Problem for Parabolic equations with Dirichlet boundary condition Rend.Ist.Lombardo, Sc.A 128 (1994) 71-91
Giuseppe Savaré
A(\Theta)-stable approximations of abstract Cauchy problems Numer. Math. 65 (1993) 319-335
Giuseppe Savaré
Approximation and regularity of evolution variational inequalities Rend.Acc.Naz.Sc.dei XL, Mem.Mat. 111 (1993) 83-111
Giuseppe Savaré
Discretizzazioni A(\Theta)-stabili di equazioni differenziali astratte Calcolo 28 (1991) 205-248