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Variational and Diffusion Problems in Random Walk Spaces. 2023 ed..
・ISBN 978-3-031-33586-0 paper EUR 159.99
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| 著者・編者 | Mazon, Jose M. / Solera-Diana, Marcos / Toledo-Melero, J. Julian, |
|---|---|
| シリーズ | Progress in Nonlinear Differential Equations and Their Applications |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2024 |
| ページ数 | 386 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13430＞ |
解説
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.