GIUSEPPE SAVARE'
Courses a.y. 2021/2022
Courses previous a.y.
Biographical note
Professor of Mathematical Analysis, Department of Decision Sciences, Bocconi University
Academic CV
2019- Hans Fisher senior fellow, Institute for Advanced Study (IAS), Technische Universität München.
2000-2020: Professor of Mathematical Analysis, Department of Mathematics, University of Pavia
1990-1998: Researcher of the Institute of Numerical Analysis (currently IMATI-CNR), Pavia, Italy
Research areas
Optimal transport, gradient flows and rate independent evolutions, variational methods for evolution problems, analysis in metric spaces, Partial Differential Equations.
Publications
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe Nonlinear diffusion equations and curvature conditions in metric measure spaces. Mem. Amer. Math. Soc. 262 (2019), no. 1270, v+121
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Invent. Math. 211 (2018), no. 3, 969–1117
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. J. Eur. Math. Soc. (JEMS) 18 (2016), no. 9, 2107–2165
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Ann. Probab. 43 (2015), no. 1, 339–404
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Metric measure spaces with Riemannian Ricci curvature bounded from below. Duke Math. J. 163 (2014), no. 7, 1405–1490
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Invent. Math. 195 (2014), no. 2, 289–391
Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Arch. Ration. Mech. Anal. 194 (2009), no. 1, 133–220
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Gradient flows in metric spaces and in the space of probability measures. Second edition. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel, 2008. x+334 pp. ISBN: 978-3-7643-8721-1
Colli Franzone, Piero; Savaré, Giuseppe Degenerate evolution systems modeling the cardiac electric field at micro- and macroscopic level. Evolution equations, semigroups and functional analysis (Milano, 2000), 49–78
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), no. 5, 525–589
Savaré, Giuseppe Regularity results for elliptic equations in Lipschitz domains. J. Funct. Anal. 152 (1998), no. 1, 176–201