Improvement of Besov regularity for solutions of the fractional Laplacian

DOI10.1007/S00365-014-9256-0zbMath1333.35319OpenAlexW2013655901MaRDI QIDQ2343048

Ivana Gómez, Hugo Aimar, Gastón Beltritti

Publication date: 4 May 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-014-9256-0

zbMATH Keywords

Besov spacesdegenerate elliptic equationsgradient estimatesfractional Laplacianmean value formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Fractional partial differential equations (35R11)

Related Items (3)

Boundary estimates and a Wiener criterion for the fractional Laplacian ⋮ Local \(L^2\) theory of the fractional Navier-Stokes equations and the self-similar solution ⋮ Fractional thoughts

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• Parabolic Besov regularity for the heat equation
• Mean value properties of solutions to parabolic equations with variable coefficients
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Maximal functions measuring smoothness
• The local regularity of solutions of degenerate elliptic equations
• Besov regularity for elliptic boundary value problems
• An Extension Problem Related to the Fractional Laplacian

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