Continuum limit of p-Laplacian evolution problems on graphs: Lq graphons and sparse graphs

DOI10.1051/m2an/2023006zbMath1528.65096arXiv2010.08697OpenAlexW4316591514MaRDI QIDQ6048496

Imad El Bouchairi, Jalal Fadili, Abderrahim Elmoataz

Publication date: 14 September 2023

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

Full work available at URL: https://arxiv.org/abs/2010.08697

zbMATH Keywords

\(p\)-Laplaciannonlocal diffusionsparse graphs\(L^q\)-graphons

Mathematics Subject Classification ID

Applications of graph theory (05C90) Integro-partial differential equations (45K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with randomness, stochastic partial differential equations (35R60) Integro-partial differential equations (35R09) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuum limit of total variation on point clouds
• Spatial effects in discrete generation population models
• A nonlocal \(p\)-Laplacian evolution equation with Neumann boundary conditions
• Asymptotic equivalence and Kobayashi-type estimates for nonautonomous monotone operators in Banach spaces
• Nonlinear evolution operators in Banach spaces
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
• Traveling waves in a convolution model for phase transitions
• An \(L^{p}\) theory of sparse graph convergence. II: LD convergence, quotients and right convergence
• Metastability and stability of patterns in a convolution model for phase transitions
• A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions
• Mean-field and graph limits for collective dynamics models with time-varying weights
• Nonlocal infinity Laplacian equation on graphs with applications in image processing and machine learning
• The continuum limit of the Kuramoto model on sparse random graphs
• The Neumann problem for nonlocal nonlinear diffusion equations
• Nonlinear semigroups and evolution equations
• The Nonlinear Heat Equation on Dense Graphs and Graph Limits
• Metrics for sparse graphs
• Nonlocal $p$-Laplacian Evolution Problems on Graphs
• The game theoreticp-Laplacian and semi-supervised learning with few labels
• Dynamics and control for multi-agent networked systems: A finite-difference approach
• Continuum limit of the nonlocal p-Laplacian evolution problem on random inhomogeneous graphs
• An 𝐿^{𝑝} theory of sparse graph convergence I: Limits, sparse random graph models, and power law distributions
• Analysis of $p$-Laplacian Regularization in Semisupervised Learning
• NONLINEAR EVOLUTION GOVERNED BY ACCRETIVE OPERATORS IN BANACH SPACES: ERROR CONTROL AND APPLICATIONS
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• The Semilinear Heat Equation on Sparse Random Graphs
• Convex analysis and monotone operator theory in Hilbert spaces
• Nonlinear evolution equations in Banach spaces

This page was built for publication: Continuum limit of p-Laplacian evolution problems on graphs: L^q graphons and sparse graphs