Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem

· · ·
· American Mathematical Soc.
Ebook
103
Pages
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About this ebook

The authors 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.

 

About the author

Donatella Danielli: Purdue University, West Lafayette, Indiana, USA,
Nicola Garofalo: Università di Padova, Padova, Italy,
Arshak Petrosyan: Purdue University, West Lafayette, Indiana, USA,
Tung To: Purdue University, West Lafayette, Indiana, USA

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