Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications

Autor:	Juan L. Varona, Pablo Raúl Stinga, Luz Roncal, Óscar Ciaurri, José L. Torrea
Rok vydání:	2018
Předmět:	General Mathematics Poincaré inequality 010103 numerical & computational mathematics 01 natural sciences symbols.namesake Mathematics - Analysis of PDEs Classical Analysis and ODEs (math.CA) FOS: Mathematics Fundamental solution Uniqueness Mathematics - Numerical Analysis 0101 mathematics Mathematics Dirichlet problem Pointwise Probability (math.PR) 010102 general mathematics Mathematical analysis Numerical Analysis (math.NA) Mathematics::Spectral Theory Functional Analysis (math.FA) Sobolev space Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs symbols Schauder estimates Laplacian matrix Mathematics - Probability Analysis of PDEs (math.AP)
Zdroj:	BIRD: BCAM's Institutional Repository Data instname RIUR. Repositorio Institucional de la Universidad de La Rioja
Popis:	The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size $h>0$ \[ (-\Delta_h)^su=f, \] for $u,f:\mathbb{Z}_h\to\mathbb{R}$, $0 Comment: 39 pages. Submitted on 08/31/2016 and accepted on 03/21/2018. To appear in Advances in Mathematics
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7c18d0a4999defe32b0d9d7e21d8e67 http://hdl.handle.net/20.500.11824/922 Zobrazit plný text záznamu