Variational and Diffusion Problems in Random Walk Spaces: 103 (Progress in Nonlinear Differential Equations and Their Applications, 103) - Hardcover

Mazón, José M.; Solera-Diana, Marcos; Toledo-Melero, J. Julián

 
9783031335839: Variational and Diffusion Problems in Random Walk Spaces: 103 (Progress in Nonlinear Differential Equations and Their Applications, 103)

Synopsis

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.


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From the Back Cover

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.


"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783031335853: Variational and Diffusion Problems in Random Walk Spaces

Featured Edition

ISBN 10:  3031335856 ISBN 13:  9783031335853
Publisher: Birkhäuser, 2023
Softcover