03465nam 22006975 450 991073699350332120251009084944.03-031-33584-810.1007/978-3-031-33584-6(MiAaPQ)EBC30676474(Au-PeEL)EBL30676474(DE-He213)978-3-031-33584-6(PPN)272260665(CKB)27935711700041(EXLCZ)992793571170004120230804d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierVariational and Diffusion Problems in Random Walk Spaces /by José M. Mazón, Marcos Solera-Diana, J. Julián Toledo-Melero1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2023.1 online resource (396 pages)Progress in Nonlinear Differential Equations and Their Applications,2374-0280 ;103Print version: Mazón, José M. Variational and Diffusion Problems in Random Walk Spaces Cham : Springer Basel AG,c2023 9783031335839 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.Progress in Nonlinear Differential Equations and Their Applications,2374-0280 ;103Differential equationsGraph theoryProbabilitiesMathematicsFunctional analysisDifferential EquationsGraph TheoryGraph Theory in ProbabilityApplications of MathematicsFunctional AnalysisDifferential equations.Graph theory.Probabilities.Mathematics.Functional analysis.Differential Equations.Graph Theory.Graph Theory in Probability.Applications of Mathematics.Functional Analysis.519.282Mazón José M421392Solera-Diana Marcos1383206Toledo-Melero J. Julián0MiAaPQMiAaPQMiAaPQBOOK9910736993503321Variational and Diffusion Problems in Random Walk Spaces3427780UNINA