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101 0 $aeng
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181   $ctxt$2rdacontent
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200 10$aVariational and Diffusion Problems in Random Walk Spaces /$fby José M. Mazón, Marcos Solera-Diana, J. Julián Toledo-Melero
205   $a1st ed. 2023.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2023.
215   $a1 online resource (396 pages)
225 1 $aProgress in Nonlinear Differential Equations and Their Applications,$x2374-0280 ;$v103
311 08$aPrint version: Mazón, José M. Variational and Diffusion Problems in Random Walk Spaces Cham : Springer Basel AG,c2023 9783031335839 
327   $aRandom 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.
330   $aThis book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, specific gradient flows that are studied include the heat flow, the total variational flow, and evolution problems of Leray-Lions type with different types of boundary conditions. With many timely applications, this book will serve as an invaluable addition to the literature in this active area of research. Variational and Diffusion Problems in Random Walk Spaces will be of interest to researchers at the interface between analysis, geometry, and probability, as well as to graduate students interested in exploring these areas.
410  0$aProgress in Nonlinear Differential Equations and Their Applications,$x2374-0280 ;$v103
606   $aDifferential equations
606   $aGraph theory
606   $aProbabilities
606   $aMathematics
606   $aFunctional analysis
606   $aDifferential Equations
606   $aGraph Theory
606   $aGraph Theory in Probability
606   $aApplications of Mathematics
606   $aFunctional Analysis
615  0$aDifferential equations.
615  0$aGraph theory.
615  0$aProbabilities.
615  0$aMathematics.
615  0$aFunctional analysis.
615 14$aDifferential Equations.
615 24$aGraph Theory.
615 24$aGraph Theory in Probability.
615 24$aApplications of Mathematics.
615 24$aFunctional Analysis.
676   $a519.282
700   $aMazón$b José M$0421392
701   $aSolera-Diana$b Marcos$01383206
701   $aToledo-Melero$b J. Julia?n$00
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910736993503321
996   $aVariational and Diffusion Problems in Random Walk Spaces$93427780
997   $aUNINA