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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Hlavní autoři:	Danielli, Donatella, Garofalo, Nicola, Petrosyan, Arshak, To, Tung
Médium:	E-kniha Kniha
Jazyk:	angličtina
Vydáno:	Providence, Rhode Island American Mathematical Society 2017
Vydání:	1
Edice:	Memoirs of the American Mathematical Society
Témata:	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
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