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

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

 
9783031335839: Variational and Diffusion Problems in Random Walk Spaces (Progress in Nonlinear Differential Equations and Their Applications, 103, Band 103)
Hardcover
ISBN 10: 303133583X ISBN 13: 9783031335839
Verlag: Birkhäuser, 2023

Inhaltsangabe

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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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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Verlag
Birkhäuser
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
303133583X
ISBN 13 
9783031335839
Einband
Gebundene Ausgabe
Anzahl der Seiten
401
Kontakt zum Hersteller
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