@UNPUBLISHED{publication1, title = "An epiperimetric inequality approach to the parabolic Signorini problem", author = "{SHI, Wenhui}", year = "2018-10-28", abstract = " In this note, we use an epiperimetric inequality approach to study the regularity of the free boundary for the parabolic Signorini problem. We show that if the \"vanishing order\" of a solution at a free boundary point is close to 3/2 or an even integer, then the solution is asymptotically homogeneous. Furthermore, one can derive a convergence rate estimate towards the asymptotic homogeneous solution. As a consequence, we obtain the regularity of the regular free boundary as well as the singular set. ", url = "http://www.mat.uc.pt/preprints/eng\_2018.html", note = "" }