Nonlocal $p$-Laplacian Evolution Problems on Graphs

DOI10.1137/17M1123596zbMath1448.65200arXiv1612.07156OpenAlexW2577840663MaRDI QIDQ4637767

Jalal Fadili, Yosra Hafiene, Abderrahim Elmoataz

Publication date: 26 April 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07156

zbMATH Keywords

graphs\(p\)-Laplaciannumerical approximationnonlocal diffusiongraph limits

Mathematics Subject Classification ID

Applications of graph theory (05C90) Other nonlinear integral equations (45G10) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Quasilinear parabolic equations with (p)-Laplacian (35K92) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (9)

Gradient flows in metric random walk spaces ⋮ Analysis and algorithms for \(\ell_p\)-based semi-supervised learning on graphs ⋮ Partial differential equations and variational methods for geometric processing of images ⋮ Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces ⋮ Continuum limit of p-Laplacian evolution problems on graphs: L^q graphons and sparse graphs ⋮ Continuum Limits of Nonlocal $p$-Laplacian Variational Problems on Graphs ⋮ Continuum limit of the nonlocal p-Laplacian evolution problem on random inhomogeneous graphs ⋮ Boundary value problem of the operator \(\oplus^k\) related to the biharmonic operator and the diamond operator ⋮ Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions

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