An epiperimetric inequality approach to the parabolic Signorini problem (Preprint)

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Type: Preprint
National /International: International
Title: An epiperimetric inequality approach to the parabolic Signorini problem
Publication Date: 2018-10-28
Authors: - Wenhui Shi
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.
Institution: DMUC 18-43
Online version: http://www.mat.uc.pt...prints/eng_2018.html
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