Variational and Diffusion Problems in Random Walk Spaces |
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| Author:
| Mazón, José M.
Solera-Diana, Marcos
Toledo-Melero, J. Julián |
| Series title: | Progress in Nonlinear Differential Equations and Their Applications Ser. |
| ISBN: | 978-3-031-33583-9 |
| Publication Date: | Aug 2023 |
| Publisher: | Springer Basel AG
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| Book Format: | Hardback |
| List Price: | USD $179.99 |
Book Description:
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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...
More Description
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.