Giuseppe Savaré
- Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures
2017/12/14 by Matthias Liero, Alexander Mielke, Giuseppe Savaré · 30 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities
- Metric measure spaces with Riemannian Ricci curvature bounded from below
2014/05/09 by Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré · 42 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Point processes and geometric inequalities
- A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
2009/01/05 by Daniel Matthes, Robert J. McCann, Matthes, Daniel +3 · 6 citations
Mathematics · #35B40 #35K30 #35K55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
- Optimal transport, Cheeger energies and contractivity of dynamic\n transport distances in extended spaces
2015/06/19 by Luigi Ambrosio, Ambrosio, Luigi, Matthias Erbar +3 · 4 citations
Mathematics · Physics and Astronomy · #30L99 #47D07 #49Q20 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric Geometry (math.MG) #Probability (math.PR)
- Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: Equivalence and Gamma-convergence
2020/11/13 by Giulia Cavagnari, Stefano Lisini, Cavagnari, Giulia +5 · 4 citations
Computer Science · Engineering · #Analysis of PDEs (math.AP) #Distributed Control Multi-Agent Systems #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Spacecraft Dynamics and Control
- From diffusion to reaction via Gamma-convergence
2009/12/30 by Mark A. Peletier, Peletier, Mark A., Giuseppe Savaré +3 · 1 citation
Computer Science · Mathematics · #35K57 #35Q84 (Primary) 49J45 #49S05 #80A30 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Topological and Geometric Data Analysis
- Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
2019/12/18 by Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré · 3 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities
- A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
2023/12/20 by Daniel Matthes, Matthes, Daniel, Eva-Maria Rott +5 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA)
- A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation
2023/12/31 by Giuseppe Savaré, Giacomo Enrico Sodini, Savaré, Giuseppe +1 · 1 citation
Mathematics · #28A33 #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Optimization and Control (math.OC) #Primary: 49Q22 #Secondary: 49K27