Variational and Diffusion Problems in Random Walk Spaces

José M. Mazón

ISBN 10: 303133583X / ISBN 13: 9783031335839

Editore: Springer Nature Switzerland, Springer International Publishing Aug 2023, 2023

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Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 404 pp. Englisch.

Codice articolo 9783031335839

Dati bibliografici

• Titolo: Variational and Diffusion Problems in Random Walk Spaces
• Editore: Springer Nature Switzerland, Springer International Publishing Aug 2023
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 303133583X
• ISBN 13: 9783031335839
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

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.