Nonlinear diffusion equations and curvature conditions in metric measure spaces / / Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré

• Autore: Ambrosio Luigi
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2019]; ©2019
• Descrizione fisica: 1 online resource (v, 121 pages) : illustrations
• Disciplina: 514.32
• Soggetto topico: Metric spaces
• Classificazione: 49J5249Q2035K5558J3535K9031C2558B20
• Persona (resp. second.): MondinoAndrea
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Contraction and convexity via Hamiltonian estimates : an heuristic argument -- Dirichlet forms, homogeneous spaces and nonlinear diffusion -- Backward and forward linearizations of nonlinear diffusion -- Preliminaries -- Absolutely continuous curves in Wasserstein spaces and continuity inequalities in a metric setting -- Weighted energy functionals along absolutely continuous curves -- Dynamic Kantorovich potentials, continuity equation and dual weighted Cheeger energies -- The RCD* (K, N) condition and its characterizations through weighted convexity and evolution variational inequalities -- The Bakry-Émery condition -- Nonlinear diffusion equations and action estimates -- The equivalence between BE(K, N) and RCD* (K, N).
• Titolo autorizzato: Nonlinear diffusion equations and curvature conditions in metric measure spaces
• ISBN: 1-4704-5513-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910811819503321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Number 1270.