Variational and Diffusion Problems in Random Walk Spaces (Progress in Nonlinear Differential Equations and Their Applications)
Mazón, José M.; Solera-Diana, Marcos; Toledo-Melero, J. Julián
ISBN 10: 3031335864 ISBN 13: 9783031335860
Published by Birkhäuser, 2024
New
Soft cover
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Books Puddle, New York, NY, U.S.A.
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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.
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.
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Bibliographic Details
Title: Variational and Diffusion Problems in Random...
Publisher: Birkhäuser
Publication Date: 2024
Binding: Soft cover
Condition: New