Uniform Equicontinuity for a Family of Zero Order Operators Approaching the Fractional Laplacian

DOI10.1080/03605302.2015.1045072zbMath1333.35314arXiv1405.3261OpenAlexW1883502799MaRDI QIDQ3448244

Erwin Topp, Patricio L. Felmer

Publication date: 23 October 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3261

zbMATH Keywords

regularitycomparison principlenonlocal elliptic operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Comparison principles in context of PDEs (35B51)

Related Items (7)

Interior regularity results for zeroth order operators approaching the fractional Laplacian ⋮ Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms ⋮ Symmetry results for solutions of equations involving zero-order operators ⋮ Continuous solutions and approximating scheme for fractional Dirichlet problems on Lipschitz domains ⋮ Weakly coupled systems of parabolic Hamilton-Jacobi equations with Caputo time derivative ⋮ An obstacle problem for nonlocal equations in perforated domains ⋮ Approximation of solutions of fractional diffusions in compact metric measure spaces

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