Gradient Estimates in fractional Dirichlet Problems

DOI10.1007/s11118-020-09842-8zbMath1460.35056arXiv1909.07261OpenAlexW3013879982MaRDI QIDQ2660173

Mouhamed Moustapha Fall, Sven Jarohs

Publication date: 29 March 2021

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07261

zbMATH Keywords

fractional Laplacianboundary regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

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Cites Work

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• Obstacle problems for integro-differential operators: higher regularity of free boundaries
• Boundary regularity estimates for nonlocal elliptic equations in \(C^1\) and \(C^{1,\alpha }\) domains
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Overdetermined problems with fractional laplacian
• Gradient estimates of harmonic functions and transition densities for Lévy processes
• Gradient estimates of Dirichlet heat kernels for unimodal Lévy processes

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