Nonlocal diffusion problems that approximate a parabolic equation with spatial dependence

DOI10.1007/s00033-016-0649-8zbMath1406.35141OpenAlexW2336255235MaRDI QIDQ322090

Julio D. Rossi, Alexis Molino Salas

Publication date: 14 October 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0649-8

zbMATH Keywords

nonlocal diffusionevolution problemsspacial dependence

Mathematics Subject Classification ID

Second-order parabolic equations (35K10) Integro-partial differential equations (35R09)

Related Items

On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals ⋮ Limiting solutions of nonlocal dispersal problem in inhomogeneous media ⋮ Improved energy methods for nonlocal diffusion problems ⋮ Asymptotic behaviour for local and nonlocal evolution equations on metric graphs with some edges of infinite length ⋮ Approximation solutions of some nonlocal dispersal problems ⋮ Nonlocal diffusion equations in Carnot groups ⋮ Parabolic equations with natural growth approximated by nonlocal equations ⋮ Nonlocal Approximations to Fokker-Planck Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate the Fokker-Planck equation by a class of nonlocal dispersal problems
• Spatial effects in discrete generation population models
• An integro-differential equation arising as a limit of individual cell-based models
• Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
• Boundary fluxes for nonlocal diffusion
• Convergence of peridynamics to classical elasticity theory
• The evolution of dispersal
• Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
• A nonlocal inhomogeneous dispersal process
• How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
• Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels
• From the long jump random walk to the fractional Laplacian
• Convergence, adaptive refinement, and scaling in 1D peridynamics
• The Derivative of a Determinant