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