Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
Copyright policy )Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size $h>0$ \[ (-Δ_h)^su=f, \] for $u,f:\mathbb{Z}_h\to\mathbb{R}$, $0
39 pages. Submitted on 08/31/2016 and accepted on 03/21/2018. To appear in Advances in Mathematics
- Iowa State University United States
- Basque Center for Applied Mathematics Spain
- University of La Rioja Spain
- Autonomous University of Madrid Spain
Discrete approximations in optimal control, Error bounds for boundary value problems involving PDEs, Heat equation, Probability (math.PR), regularity and extension problem, Numerical Analysis (math.NA), nonlocal discrete diffusion equations, fractional discrete Laplacian, Fractional partial differential equations, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, semidiscrete heat equation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Numerical Analysis, error of approximation, Sobolev and Poincaré inequalities, Mathematics - Probability, Analysis of PDEs (math.AP)
Discrete approximations in optimal control, Error bounds for boundary value problems involving PDEs, Heat equation, Probability (math.PR), regularity and extension problem, Numerical Analysis (math.NA), nonlocal discrete diffusion equations, fractional discrete Laplacian, Fractional partial differential equations, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, semidiscrete heat equation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Numerical Analysis, error of approximation, Sobolev and Poincaré inequalities, Mathematics - Probability, Analysis of PDEs (math.AP)
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