Nonlocal diffusion models with consistent local and fractional limits

DOI10.1007/978-3-031-34089-5_5arXiv2203.00167MaRDI QIDQ6191313

Qiang Du, Xiaochuan Tian, Zhi Zhou

Publication date: 7 March 2024

Published in: A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00167

zbMATH Keywords

well-posednessnonlocal diffusionperidynamicsfractional PDEsnonlocal modelsinhomogeneous data

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral operators (47G10) Fractional partial differential equations (35R11)

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