Giuseppe Savare
Professor
Department of Mathematics 'F. Casorati'
University of Pavia
Italy
Biography
Giuseppe Savaré is a Professor of Mathematical Analysis University of Pavia
Research Interest
The variational approach to evolution problems: gradient flows, rate-independent problems, and application to evolution PDE's; Optimal Transport and entropic distances between nonnegative measures.; Analysis in metric-measure spaces: calculus, Heat flow, optimal transport, non-smooth Riemannian geometry; Reaction-Diffusion Systems for the Cardiac Electric Field; Optimal error estimates for the approximation of evolution problems
Publications
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Liero Matthias, Mielke Alexander, Savaré Giuseppe Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves. SIAM J. Math. Anal. 48 (2016) 2869--2911 doi:10.1137/15M1041420 arxiv:1509.00068
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Mielke Alexander, Rossi Riccarda, Savaré Giuseppe Balanced-viscosity solutions for multi-rate systems. J. Phys. Conf. Ser. 727 (2016) 012010, 26 doi:10.1088/1742-6596/727/1/012010 arxiv:1409.0955
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Ambrosio Luigi, Mondino Andrea, Savaré Giuseppe On the Bakry-Émery condition, the gradient estimates and the local-to-global property of RCD^*(K,N) metric measure spaces. J. Geom. Anal. 26 (2016) 24--56 doi:10.1007/s12220-014-9537-7 arxiv:1309.4664
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Ambrosio Luigi, Erbar Matthias, Savaré Giuseppe Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Nonlinear Anal. 137 (2016) 77--134 doi:10.1016/j.na.2015.12.006 arxiv:1506.05932 PDF
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Riccarda Rossi, Giuseppe Savaré From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems ArXiv e-prints 1702.00136 (2017) 1-27 arxiv:1702.00136
