The Two-Phase Fractional Obstacle Problem

DOI10.1137/140974195zbMath1320.35121arXiv1212.1492OpenAlexW1623256667MaRDI QIDQ5254870

Erik Lindgren, Arshak Petrosyan, Mark G. Allen

Publication date: 10 June 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1492

zbMATH Keywords

fractional LaplacianWeiss-type monotonicity formulathin obstacle problemtwo-phase free boundary problemseparation of phasesAlmgren's frequency formulaAlt-Caffarelli-Friedman monotoncity formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70)

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