Estimates on translations and Taylor expansions in fractional Sobolev spaces

DOI10.1016/j.na.2020.111995zbMath1462.46038arXiv2004.12196OpenAlexW3029985551MaRDI QIDQ2201741

David Gómez-Castro, Juan Luis Vazquez, Félix del Teso

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12196

zbMATH Keywords

interpolationconvolutionfractional Sobolev spacesTaylor expansionsdiscretisation errorGagliardo normstranslation estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics~II ⋮ Characterisation of homogeneous fractional Sobolev spaces ⋮ Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection ⋮ Generalized Taylor's formula for power fractional derivatives ⋮ Bourgain-Brezis-Mironescu convergence via Triebel-Lizorkin spaces ⋮ Asymptotic simplification of aggregation-diffusion equations towards the heat kernel ⋮ Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ On a repulsion-diffusion equation with immigration

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• A new characterization of Sobolev spaces on \({\mathbb{R}^{n}}\)
• The fractional Cheeger problem
• Gamma-convergence of nonlocal perimeter functionals
• An introduction to Sobolev spaces and interpolation spaces
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Compact sets in the space \(L^ p(0,T;B)\)
• On an open question about functions of bounded variation.
• Gagliardo-Nirenberg inequalities and non-inequalities: the full story
• Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
• Generalized Gagliardo-Nirenberg inequalities using Lorentz spaces, BMO, Hölder spaces and fractional Sobolev spaces
• On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
• Fractional Sobolev inequalities revisited: the maximal function approach
• A note on homogeneous Sobolev spaces of fractional order
• Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments
• Notes on limits of Sobolev spaces and the continuity of interpolation scales
• Improved Poincar\'e inequalities in fractional Sobolev spaces
• Sobolev Spaces

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