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Variational and Diffusion Problems in Random Walk Spaces

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...

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書誌詳細
主要な著者: Mazón, José M. (著者), Solera-Diana, Marcos (著者), Toledo-Melero, J. Julián (著者)
団体著者: SpringerLink (Online service)
フォーマット: 電子媒体 eBook
言語:英語
出版事項: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2023.
版:1st ed. 2023.
シリーズ:Progress in Nonlinear Differential Equations and Their Applications, 103
主題:
Differential equations.
Graph theory.
Probabilities.
Mathematics.
Functional analysis.
Differential Equations.
Graph Theory.
Graph Theory in Probability.
Applications of Mathematics.
Functional Analysis.
オンライン･アクセス:https://doi.org/10.1007/978-3-031-33584-6
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目次:
  • 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.

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