Mazón / Solera-Diana / Toledo-Melero Variational and Diffusion Problems in Random Walk Spaces

1. Auflage 2023
ISBN: 978-3-031-33584-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 103, 386 Seiten, eBook

Reihe: Progress in Nonlinear Differential Equations and Their Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Mazón, José M.

Solera-Diana, Marcos

Toledo-Melero, J. Julián

Inhaltsverzeichnis

Random walks.- The heat flow in random walk spaces.- The total variation flow in random walks spaces.- ROF-models in random walk spaces.- Least gradient functions in random walk spaces.- Doubly nonlinear nonlocal stationary problems of Leray-Lions.- Doubly nonlinear nonlocal diffusion problems of Leray-Lions type.