79 citations · 125 across the 17 of their papers we have counts for
4 papers · 1 filter
Boundedness and continuity of the time derivative in the parabolic Signorini problem
Arshak Petrosyan, Andrew Zeller
We prove the boundedness of the time derivative in the parabolic Signorini problem, as well as establish its Hölder continuity at regular free boundary points.
Regularity of the free boundary for the obstacle problem for the fractional Laplacian with drift
Nicola Garofalo, Arshak Petrosyan, Camelia A. Pop +1
We establish the -Hölder regularity of the regular free boundary in the stationary obstacle problem defined by the fractional Laplace operator with drift in the subcritica…
Singular Perturbation Problem in Boundary/Fractional Combustion
Arshak Petrosyan, Wenhui Shi, Yannick Sire
Motivated by a nonlocal free boundary problem, we study uniform properties of solutions to a singular perturbation problem for a boundary-reaction-diffusion equation, where the rea…
An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients
Nicola Garofalo, Arshak Petrosyan, Mariana Smit Vega Garcia
In this paper we establish the regularity of the regular part of the free boundary in the Signorini problem for elliptic operators with variable Lipschitz coefficients. T…