| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910736993503321 |
|
|
Autore |
Mazón José M |
|
|
Titolo |
Variational and Diffusion Problems in Random Walk Spaces / / by José M. Mazón, Marcos Solera-Diana, J. Julián Toledo-Melero |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2023 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2023.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (396 pages) |
|
|
|
|
|
|
Collana |
|
Progress in Nonlinear Differential Equations and Their Applications, , 2374-0280 ; ; 103 |
|
|
|
|
|
|
|
|
Altri autori (Persone) |
|
Solera-DianaMarcos |
Toledo-MeleroJ. Julián |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Differential equations |
Graph theory |
Probabilities |
Mathematics |
Functional analysis |
Differential Equations |
Graph Theory |
Graph Theory in Probability |
Applications of Mathematics |
Functional Analysis |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di contenuto |
|
Random walks -- The heat flow in random walk spaces -- The total variation flow in random walks spaces -- ROF-models in random walk spaces -- Least gradient functions in random walk spaces -- Doubly nonlinear nonlocal stationary problems of Leray-Lions -- Doubly nonlinear nonlocal diffusion problems of Leray-Lions type. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
This book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, specific gradient flows that are studied include the heat flow, the total variational flow, and evolution problems of Leray-Lions type with different types of boundary |
|
|
|
|
|
|
|
|
|
|
conditions. With many timely applications, this book will serve as an invaluable addition to the literature in this active area of research. Variational and Diffusion Problems in Random Walk Spaces will be of interest to researchers at the interface between analysis, geometry, and probability, as well as to graduate students interested in exploring these areas. |
|
|
|
|
|
| |