Continuum limit of the nonlocal p-Laplacian evolution problem on random inhomogeneous graphs

DOI10.1051/m2an/2019066zbMath1442.65212arXiv1805.01754OpenAlexW2971642660MaRDI QIDQ5110273

Jalal Fadili, Christophe Chesneau, Yosra Hafiene, Abderrahim Elmoataz

Publication date: 18 May 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01754

zbMATH Keywords

graphon\(p\)-Laplaciannumerical approximationnonlocal diffusiongraph limitsinhomogeneous random graphs

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Quasilinear parabolic equations with (p)-Laplacian (35K92) Integro-partial differential equations (35R09) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (2)

Spectral analysis of weighted Laplacians arising in data clustering ⋮ Continuum limit of p-Laplacian evolution problems on graphs: L^q graphons and sparse graphs

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