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Variational and Diffusion Problems in Random Walk Spaces
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Variational and Diffusion Problems in Random Walk Spaces

2023 ed.

Book Details

Format Paperback / Softback
ISBN-10 3031335864
ISBN-13 9783031335860
Edition 2023 ed.
Publisher Birkhauser Verlag AG
Imprint Birkhauser Verlag AG
Country of Manufacture GB
Country of Publication GB
Publication Date Aug 6th, 2024
Print length 386 Pages
Ksh 25,200.00
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This book presents the latest developments in the theory of gradient flows in random walk spaces. 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.
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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