Nonlocal Continuum Limits of P-Laplacian Problems on Graphs

by Jalal Fadili, Imad El Bouchairi, Yosra Hafiene

In this Element, the authors consider fully discretized p-Laplacian problems (evolution, boundary value and variational problems) on graphs. The motivation of nonlocal continuum limits comes from the quest of understanding collective dynamics in large ensembles of interacting particles, which is a fundamental problem in nonlinear science, with applications ranging from biology to physics, chemistry and computer science. Using the theory of graphons,...

• Format: Paperback
• Language: English
• ISBN: 1009327852
• ISBN13: 9781009327855
• Release Date: May 2023
• Publisher: Cambridge University Press
• Length: 75 Pages
• Weight: 0.39 lbs.
• Dimensions: 0.3" x 6.0" x 9.0"