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Variational and diffusion problems in random walk spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Variational and diffusion problems in random walk spacesby Jose M. Mazon, Marcos Solera-Diana, J. Julian Toledo-Melero.
作者:	Mazon, Jose M.
其他作者:	Solera-Diana, Marcos.
出版者:	Cham :Springer Nature Switzerland :2023.
面頁冊數:	xv, 386 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Random walks (Mathematics)
電子資源:	https://doi.org/10.1007/978-3-031-33584-6
ISBN:	9783031335846$q(electronic bk.)

Variational and diffusion problems in random walk spaces
Mazon, Jose M.

Variational and diffusion problems in random walk spaces[electronic resource] /by Jose M. Mazon, Marcos Solera-Diana, J. Julian Toledo-Melero. - Cham :Springer Nature Switzerland :2023. - xv, 386 p. :ill., digital ;24 cm. - Progress in nonlinear differential equations and their applications,v. 1032374-0280 ;. - Progress in nonlinear differential equations and their applications ;v.83..

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.

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.

ISBN: 9783031335846$q(electronic bk.)

Standard No.: 10.1007/978-3-031-33584-6doiSubjects--Topical Terms:

183715
Random walks (Mathematics)

LC Class. No.: QA274.73 / .M39 2023

Dewey Class. No.: 519.282

Variational and diffusion problems in random walk spaces
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520 $a 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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