Separation of a Lower Dimensional Free Boundary in a Two Phase Problem

2012/03/28 by Allen, Mark · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.6311

Abstract

This paper studies local properties of a two phase free boundary problem for the fractional Laplacian. The main result states that the two free boundaries of the positive and negativity sets cannot touch.

Cited by

• On a fractional Alt-Caffarelli-Friedman-type monotonicity formula
• On a class of thin obstacle-type problems for the bi-Laplacian operator

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