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arXiv · 1306.5213

Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem

Donatella Danielli·Nicola Garofalo·Arshak Petrosyan·Tung To
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Abstract

We give a comprehensive treatment of the parabolic Signorini problem based on a generalization of Almgren's monotonicity of the frequency. This includes the proof of the optimal regularity of solutions, classification of free boundary points, the regularity of the regular set and the structure of the singular set.

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Donatella Danielli, Nicola Garofalo, Arshak Petrosyan, Tung To. 2013-06-21. Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem. https://arxiv.org/abs/1306.5213

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