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Non-local approximation of the Griffith functional.

Authors :
Scilla, Giovanni
Solombrino, Francesco
Source :
NoDEA: Nonlinear Differential Equations & Applications; Mar2021, Vol. 28 Issue 2, p1-28, 28p
Publication Year :
2021

Abstract

An approximation, in the sense of Γ -convergence and in any dimension d ≥ 1 , of Griffith-type functionals, with p-growth ( p > 1 ) in the symmetrized gradient, is provided by means of a sequence of non-local integral functionals depending on the average of the symmetrized gradients on small balls. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10219722
Volume :
28
Issue :
2
Database :
Complementary Index
Journal :
NoDEA: Nonlinear Differential Equations & Applications
Publication Type :
Academic Journal
Accession number :
149310881
Full Text :
https://doi.org/10.1007/s00030-021-00682-y