Nonlinear diffusion equations and curvature conditions in metric measure spaces / / Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré |
Autore | Ambrosio Luigi |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (v, 121 pages) : illustrations |
Disciplina | 514.32 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Metric spaces |
ISBN | 1-4704-5513-7 |
Classificazione | 49J5249Q2035K5558J3535K9031C2558B20 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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). |
Record Nr. | UNINA-9910794079703321 |
Ambrosio Luigi
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Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
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Lo trovi qui: Univ. Federico II | ||
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Nonlinear diffusion equations and curvature conditions in metric measure spaces / / Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré |
Autore | Ambrosio Luigi |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (v, 121 pages) : illustrations |
Disciplina | 514.32 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Metric spaces |
ISBN | 1-4704-5513-7 |
Classificazione | 49J5249Q2035K5558J3535K9031C2558B20 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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). |
Record Nr. | UNINA-9910811819503321 |
Ambrosio Luigi
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|