Andrew K. Zeller

most citedHigher regularity of the free boundary in the parabolic Signorini problem

1 citations · 1 across the 1 of their papers we have counts for

collaborators

2 papers

math.AP2016★ 1 cited

Higher regularity of the free boundary in the parabolic Signorini problem

Agnid Banerjee, Mariana Smit Vega Garcia, Andrew K. Zeller

We show that the quotient of two caloric functions which vanish on a portion of an $H^{k + α}$ regular slit is $H^{k + α}$ at the slit, for $k \geq 2$ . In the case $k = 1$ , we show tha…

math.AP2015

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.