Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem

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 th...

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Bibliographic Details
Main Authors: Danielli, Donatella, Garofalo, Nicola, Petrosyan, Arshak, To, Tung
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2017
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Boundary value problems
Elasticity
Elasticity > Mathematical models
Mathematical physics
singular set
Almgren’s frequency formula
Caffarelli’s monotonicity formula
optimal regularity
evolutionary variational inequality
Free boundary problem
regularity of free boundary
Weiss’s monotonicity formula
parabolic Signorini problem
Monneau’s monotonicity formula
ISBN:9781470425470, 1470425475
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary: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.
Bibliography:Volume 249, number 1181 (second of 8 numbers), September 2017
Bibliography: p. 101-103
ISBN:9781470425470
1470425475
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1181