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Record Nr. |
UNINA9910811819503321 |
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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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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2019] |
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©2019 |
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ISBN |
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Descrizione fisica |
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1 online resource (v, 121 pages) : illustrations |
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Collana |
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Memoirs of the American Mathematical Society ; ; Number 1270 |
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Classificazione |
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49J5249Q2035K5558J3535K9031C2558B20 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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). |
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