ENGLISH

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

By José M. Mazón , J. Julian Toledo-melero , Marcos Solera-Diana

Book information

Publisher
Birkhäuser
Year
2023
ISBN
303133583X, 9783031335839
Language
english
Format
PDF
Filesize
9 MB (9267317 bytes)
Pages
401\396
Time added
2024-03-28 03:26:56

Description

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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