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Books by Giuseppe Savare
  | | Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces by Luigi. Ambrosio, Giuseppe Savare, Andrea Mondino Paperback, 121 Pages, Published 2019 by American Mathematical Society, United States ISBN-13: 978-1-4704-3913-2, ISBN: 1-4704-3913-1 "The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces $(X,\mathsf d,\mathfrak m)$." |
 | | Lectures in Mathematics Eth Zurich Ser. Gradient Flows : In Metric Spaces and in the Space of Probability Measures by Luigi Ambrosio, Nicola Gigli, Giuseppe Savare Published 2009 ISBN-13: 978-1-281-85136-9, ISBN: 1-281-85136-1 |
 | | Gradient Flows(2nd Edition) Second Edition, In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich) by Professor Luigi Ambrosio, Nicola Gigli, Giuseppe Savare Paperback, 334 Pages, Published 2008 by Birkhäuser ISBN-13: 978-3-7643-8721-1, ISBN: 3-7643-8721-1 "The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, ..." |
 | | Nonlinear PDE's and Applications C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries) by Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani, Professor Luigi Ambrosio, Giuseppe Savare Paperback, 224 Pages, Published 2011 by Springer ISBN-13: 978-3-642-21718-0, ISBN: 3-642-21718-4 "This volume collects the notes of the CIME course "Nonlinear PDE's and applications" held in Cetraro (Italy) on June 23-28, 2008. It consists of four series of lectures, delivered by Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon). They presented a broad overview of far-reaching findings and excitin ..." |
 | | Lectures in Mathematics. ETH Zürich Ser. Gradient Flows : In Metric Spaces and in the Space of Probability Measures by Luigi Ambrosio, Nicola Gigli, Giuseppe Savarež, Giuseppe Savarâe 334 Pages, Published 2008 by Springer Science & Business Media ISBN-13: 978-3-7643-8722-8, ISBN: 3-7643-8722-X "... it coincides with the closure in L2(μ;X) of the gradients of smooth functions and with the closed cone generated by all optimal transport maps, thus with the tangent space (10.4.1) we introduced in Section 8.4. Acknowledgements. During the development of this project, that took almost three years, we had many useful conversations with colleagues and friends on the topics treated in this book. In particular we wish to thank Y.Br ..." |