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Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem

Danielli, D (Purdue University)
Wednesday 25 June 2014, 14:50-15:20

Seminar Room 2, Newton Institute Gatehouse


Co-authors: Nicola Garofalo (University of Padova), Arshak Petrosyan (Purdue University), Tung To (Purdue University)

In this talk we will give an overview of our comprehensive treatment of the parabolic Signorini problem, based on a generalization of Almgren's monotonicity of the frequency. In particular, we will discuss the optimal regularity of solutions, the classi fication of free boundary points, the regularity of the regular set, and the structure of the singular set.


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