Mathematical Research Letters

Volume 26 (2019)

Number 1

Boundedness and continuity of the time derivative in the parabolic Signorini problem

Pages: 281 – 292

DOI: https://dx.doi.org/10.4310/MRL.2019.v26.n1.a13

Authors

Arshak Petrosyan (Department of Mathematics, Purdue University, West Lafayette, Indiana, U.S.A.)

Andrew Zeller (Department of Mathematics, Purdue University, West Lafayette, Indiana, U.S.A.)

Abstract

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.

Received 1 June 2016

Accepted 14 August 2017

Published 7 June 2019