Regularity of the free boundary for the obstacle problem for the fractional Laplacian with drift

DOI10.1016/j.anihpc.2016.03.001zbMath1365.35230arXiv1509.06228OpenAlexW2962698595MaRDI QIDQ523069

Arshak Petrosyan, Camelia A. Pop, Mariana Smit Vega Garcia, Nicola Garofalo

Publication date: 20 April 2017

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06228

zbMATH Keywords

obstacle problemmonotonicity formulassymmetric stable processepiperimetric inequalityfree boundary regularityfractional Laplacian with drift

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11)

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